All Events

from Monday
February 18, 2019 to Friday
May 31, 2019
 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter Seminar Analysis Seminar Analysis Student Seminar Capsule Research Talks Colloquium Commencement Ceremony Comprehensive Exams Dynamical Systems Seminar Equivalence Method and Exterior Differential Systems Seminar First and Second Year Student Seminar Friday Summer Meeting Geometric Analysis Learning Seminar Geometry/Topology Seminar Grad / Postdoc Professional Development Seminar Graduate Student Seminar Graduate Topology Seminar Grant Proposal Panel Hodge Theory, Moduli and Representation Theory Holiday Party Joint Columbia-CUNY-Stony Brook General Relativity Seminar Math and Art Symposium for Tony Phillips Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Department Gathering Mathematics Education Colloquium Mathematics Summer Camp Mini Course / Dynamics Learning Seminar Mini-School in Geometry Minicourse in Real Enumerative Geometry New Graduate Students NY General Relativity Seminar Postdoc Geometry/Dynamics Seminar Postdoc Seminar Representation Theory Student Seminar RTG Colloquium RTG Seminar RTG Student Geometry Seminar SCGP Seminars Seminar in Topology and Symplectic Geometry Seminar on algebraic structures in physics Simons Colloquium Simons Lectures Series Singular metrics and direct images Special Algebra / Algebraic Geometry Seminar Special Analysis Seminar Special Colloquium Special Dynamics Seminar Special Geometry/Topology Seminar Special Lectures Special Seminar in Algebraic Geometry Special Topology Seminar Student Algebraic Geometry Seminar Student Differential Geometry Seminar Student Gauge Theory Seminar Student Seminar on Differential Geometry and Analysis Summer Workshop in Topology and Geometry Symplectic Geometry Reading Seminar Symplectic Geometry Seminar Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars

 Month Agenda

 MondayFebruary 18, 20195:30 PM - 6:30 PM 5-127 Student Differential Geometry SeminarJordan Rainone, Stony Brook University Metrics of negative scalar curvatureTBA

 WednesdayFebruary 20, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminarJunliang Shen, MIT Perverse filtrations, Gopakumar-Vafa invariants, and hyper-kähler geometryFor a hyper-kähler variety equipped with a Lagrangian fibration, an increasing filtration is defined on its rational cohomology using the perverse t-structure. We will discuss the role played by this filtration in the study of the topology and geometry of hyper-kähler varieties, as well as the connection to curve counting invariants of Calabi-Yau 3-folds. In particular, we will discuss some recent progress on the P=W conjecture for Hitchin systems, and its compact analog for Lagrangian fibrations. Based on joint work with Qizheng Yin and Zili Zhang.

 WednesdayFebruary 20, 20192:30 PM - 3:30 PM Math Tower P-131 Mini Course / Dynamics Learning SeminarByung-Geun Oh, Hanyang University Combinatorial Gauss-Bonnet Theorem and its applicationsIn this talk we will start with the concept of combinatorial curvature on planar graphs. After brief explanation for some progress related to combinatorial curvature, the main topic of this talk will come in, the "combinatorial Gauss-Bonnet theorem". Definitely it is the combinatorial counterpart to Gauss-Bonnet theorem in differential geometry. We will especially focus on the Gauss-Bonnet formula involving boundary (left) turns, since we found at least two reasonable applications of it. The first application is related to the He-Schramm conjecture [1] about types of disk circle packing, which was later proved by Repp [2]. During the talk a statement stronger than the He-Schramm conjecture(i.e., Repp's theorem) will be presented, and one will see that the stronger version can be proved in a simpler way. The next application is about isoperimetric constants on planar graphs. Suppose a given planar graph has faces and vertices whose degrees are at least $p$ and $q$, respectively, where $p$ and $q$ are natural numbers such that $1/p + 1/q < 1/2$.Then it is natural to guess that the isoperimetric constant of this graph is at least that of the $(p,q)$-regular graph, the $q$-regular planar graph all of whose faces have the same degree $p$. This `guess' was in fact conjectured by Lawrencenko, Plummer, and Zha [3], for which we could give an affirmative answer using the combinatorial Gauss-Bonnet theorem. A sketch of the proof will be given if time allows. [1] Z. He and O. Schramm, Hyperbolic and parabolic packings, Discrete Comput. Geom. 14 (1995), no. 2, 123-149. [2] A. Repp, Bounded valence excess and the parabolicity of tilings, Discrete Comput. Geom. 26 (2001), no. 3, 321-351. [3] S. Lawrencenko, M. Plummer, and X. Zha, Isoperimetric constants of infinite plane graphs, Discrete Comput. Geom. 28 (2002), no. 3, 313-330.

 WednesdayFebruary 20, 20191:00 PM - 2:00 PM Math Tower P-131 Graduate Student SeminarTaras Kolomatski, Stony Brook University An Infinite Quantum Ramsey TheoremNik Weaver (2015) showed an intriguing non-commutative version of the classical Ramsey's theorem on graphs: Let $\mathcal{V}$ be a subspace of $M_n(\mathbb{C})$ which contains the identity matrix and is stable under the formation of Hermitian conjugates. If $n$ is sufficiently large, then there is a rank $k$ orthogonal projection such that $\dim (P\mathcal{V}P)$ is $1$ or $k^2$. These are the minimal and maximal possibilities for this dimension, and in these cases such a projection is called a quantum $k-$anticlique or quantum $k-$clique, respectively. Weaver further showed that both the classical and quantum Ramsey's theorems are special cases of a general Ramsey theorem on \textit{quantum graphs}, which are modelled on such matrix spaces with the additional algebraic structure of being a bimodule of some matrix $*-$algebra. Investigation of such objects was initially motivated by quantum information theory, in which quantum graphs provided an analogue of the confusability graph in classical communication over a noisy channel. Weaver's work follows a long list of results successfully generalising classical results to this context, such as the definition of quantum Shannon capacity by Duan, Severini and Winter (2013). In this talk, I will look at salient examples that demonstrate the difference between the classical and quantum contexts, sketch Weaver's results, and describe the process by which we successfully adapted Weaver's work demonstrate a quantum analogue of the classical infinite Ramsey's theorem in Kennedy, Kolomatski, Spivak (2017). Working in this infinite dimensional setting required functional analysis, and invited plenty of delightful nuance in topological considerations.

 WednesdayFebruary 20, 20194:00 PM Math Tower 5-127 Analysis Student SeminarJacob Mazor, Stony Brook University First considerations in regularity theoryWe finish our introduction to currents by looking at the case of codimension 1 currents: this is special as integral currents of codimension 1 were in fact introduced before the foundational paper by Federer and Fleming, by De Giorgi and Caccioppoli as sets of finite perimeter. We then move on to discuss some first considerations in regularity theory: after an overview of the known regularity results for codimension 1 and for higher codimension, we will start developing some preliminaries, such as monotonicty formulas and its consequences.

 ThursdayFebruary 21, 20194:00 PM - 5:00 PM Math Tower P-131 ColloquiumErnie Croot, Georgia Tech Long Progressions in SumsetsAn old question in additive number theory is determining the length of the longest progression in a sumset A+B = {a + b : a in A, b in B}, given that A and B are "large" subsets of {1,2,...,n}. I will survey some of the results on this problem, including a discussion of the methods, and also will discuss some open questions and conjectures.

 FridayFebruary 22, 201910:00 AM - 11:00 AM Math Tower 5-127 RTG Student Geometry SeminarLisa Marquand, Stony Brook University The Dolbeault GroupoidIn this talk, we define the Dolbeault groupoid of rank one Higgs bundles over a compact Riemann surface. We will focus on explaining how hermitian metrics relate unitary connections to holomorphic line bundles.

 FridayFebruary 22, 20194:00 PM - 6:00 PM P-131 Math Tower Geometric Analysis Learning SeminarDemetre Kazaras, Stony Brook University Bray's proof of the Penrose Conjecture

 FridayFebruary 22, 20192:30 PM - 3:30 PM Math Tower P-131 Dynamical Systems SeminarKasra Rafi, University of Toronto Counting of the number of simple closed curves on a surface, revisitedTBA

 TuesdayFebruary 26, 20191:00 PM - 2:30 PM P-131 Grad / Postdoc Professional Development SeminarStony Brook Faculty, Stony Brook University Applying for NSF grantsWith Aliakbar Daemi, Bob Hough, Mark Mclean, and Christian Schnell. Each of us is going to talk about their experience with writing a grant proposal, applying to the NSF, getting feedback from the NSF, etc. We'll share some of the documents, and of course answer questions. We'll also be happy to give specific advice to those of you who are thinking about applying for a grant this fall.

 WednesdayFebruary 27, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminarBenjamin Bakker, University of Georgia Hodge theory and o-minimalityThe cohomology groups of complex algebraic varieties come equipped with a powerful invariant called a Hodge structure. Going back to foundational work of Griffiths, Hodge theory has found many important applications to algebraic and arithmetic geometry, but its intrinsically analytic nature often leads to complications. Recent joint work with Y. Brunebarbe, B. Klingler, and J. Tsimerman has shown that in fact many Hodge-theoretic constructions can be carried out in an intermediate geometric category, and o-minimality provides the crucial tameness hypothesis to make this precise. In this talk I will describe how this perspective can be used to easily recover an important theorem of Cattani--Deligne--Kaplan on the algebraicity of Hodge loci and to prove a conjecture of Griffiths on the quasiprojectivity of the images of period maps.

 ThursdayFebruary 28, 20194:00 PM - 5:00 PM Math Tower P-131 ColloquiumBenjamin Bakker, University of Georgia o-minimal GAGAA complex algebraic variety can be naturally considered as a complex analytic space. Working with the analytic space often has many advantages, as for instance there are many more complex analytic functions than algebraic ones. For this perspective to be useful in algebraic geometry, it is necessary to also go backwards---that is, to characterize when analytic constructions starting with algebraic varieties return algebraic varieties. One powerful answer to this question is provided by Serre's celebrated GAGA theorem. It generalizes an earlier result of Chow asserting that closed complex analytic subspaces of a compact algebraic variety are in fact algebraic. Both of these theorems easily fail for non-compact algebraic varieties. In this talk I will explain joint work with Y. Brunebarbe and J. Tsimerman which shows that Serre's GAGA theorem extends to the non-compact case if one restricts to analytic structures that are "tame" in a sense made precise by the model-theoretic notion of o-minimality. We will also explain why this result has important applications to Hodge theory.

 ThursdayFebruary 28, 20191:00 PM Math Tower 5-127 Symplectic Geometry SeminarGuillem Cazassus, Indiana TBATBA

 FridayMarch 01, 20192:30 PM - 3:30 PM Math Tower P-131 Dynamical Systems SeminarZoran Sunic, Hofstra University Schreier spectra of some iterated monodromy groupsWe discuss calculation of spectra of several iterated monodromy groups, such as the Hanoi Towers group $H$ and one of its subgroups, the “tangled odometers group“ $T$. The Hanoi Towers group is the iterated monodromy group of the $3$-dimensional, post-critically finite, rational map $z→ z^2 – 16/(27z)$ and it models the well-known Hanoi Towers Problem. The subgroup $T$ is the iterated monodromy group of the post-critically finite, cubic polynomial $z→ -z^3/2 + 3z/2$ whose two critical points are fixed. The groups act on the ternary rooted tree and on its boundary. The spectrum of the Schreier graphs of these actions were, in both cases, shown to consist of a countable set of isolated points and a Cantor set to which the isolated points accumulate via backward iterations of a quadratic polynomial. In both cases, the calculation is facilitated by first introducing a higher dimensional rational map, which is then shown to be semi-conjugate to a one-dimensional map. Time permitting, we will also discuss the case of iterated monodromy groups of arbitrary conservative polynomials.

 TuesdayMarch 05, 20191:00 PM - 2:30 PM P-131 Grad / Postdoc Professional Development SeminarGraduate students, Stony Brook University Recital practice IPractice meeting for the graduate student recitals on March 26/27. Please attend and give some feedback to the speakers!

 WednesdayMarch 06, 20192:30 PM - 3:30 PM Math Tower P-131 Mini Course / Dynamics Learning SeminarJonguk Yang, University of Michigan TBATBA

 WednesdayMarch 06, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminarSophie Morel, Princeton TBATBA

 ThursdayMarch 07, 20192:15 PM Math Tower 5-127 Symplectic Geometry SeminarNate Bottman, IAS/Princeton TBATBA

 ThursdayMarch 07, 20192:30 PM P-131 Analysis SeminarGuy David, Ball State University Lipschitz differentiability, embeddings, and rigidity for group actionsWe discuss a class of metric spaces that, despite being non-Euclidean, support a first-order calculus for Lipschitz functions developed by Cheeger. After introducing these spaces, we will survey some of their embedding properties and explain a theorem of the speaker and Kyle Kinneberg concerning embeddings in Carnot groups. Then we will explain an application of this last result to a problem on group actions in hyperbolic geometry.

 ThursdayMarch 07, 20194:00 PM - 5:00 PM Math Tower P-131 ColloquiumStephen Miller, Rutgers University Sphere packing, Fourier interpolation, and the Universal Optimality TheoremI will discuss recent work on the optimal arrangement of points in euclidean space. In addition to the solution to the sphere packing problem in dimensions 8 and 24 from 2016, the "Universal Optimality" conjecture has now been proved in these dimensions as well. This shows that E8 and the Leech lattice minimize energy for any completely monotonic function of distance-squared, a fact which was previously not known for any configuration of points in any dimension > 1. Beyond giving a new proof of these sphere packing results, Universal Optimality also gives information about long-range interactions. Another application is to find the global minimum of the log-determinant of the laplacian among flat tori in those dimensions. The techniques involve arranging both a function and its Fourier transform to vanish at certain points, which leads to a new interpolation formula that recovers a radial Schwartz function from the values of it, its Fourier transform, and their derivatives, at special arithmetic points. Finally, fitting with the theme of the “Automorphic Structure” workshop, the interpolation formula reduces to an identity involving modular forms. (joint with Henry Cohn, Abhinav Kumar, Danylo Radchenko, and Maryna Viazovska)

 ThursdayMarch 07, 20191:00 PM Math Tower 5-127 Symplectic Geometry SeminarYuhan Sun, Stony Brook University TBATBA

 FridayMarch 08, 20192:30 PM - 3:30 PM Math Tower P-131 Dynamical Systems SeminarJonguk Yang, University of Michigan TBATBA

 TuesdayMarch 12, 20191:00 PM - 2:30 PM P-131 Grad / Postdoc Professional Development SeminarGraduate students, Stony Brook University Recital practice IIPractice meeting for the graduate student recitals on March 26/27. Please attend and give some feedback to the speakers!

 TuesdayMarch 12, 20194:00 PM - 5:00 PM Math Tower P-131 Geometry/Topology SeminarFedor Manin, Ohio State University Rational homotopy and topological isoperimetrySoon after Sullivan introduced his model of rational homotopy theory in the 1970's, Gromov noted that the theory had some metric consequences for maps between compact manifolds or simplicial complexes. I will present a systematic view of this relationship which gives a powerful tool for, among other things, resolving the following type of question, asked by Gromov twenty years later: Given two $L$-Lipschitz maps $f, g: X → Y$, where $X$ and $Y$ are nice compact metric spaces, what is the optimal Lipschitz constant of a homotopy between them? I will also try to explain why this question is fundamental to quantitative topology.

 WednesdayMarch 13, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminarDan Abramovich, Brown University Resolving singularities in familiesSemistable reduction is often the first step in constructing compactified moduli spaces, and can be used to discover their properties. I will describe work-in-progress with Michael Temkin and Jaroslaw Wlodarczyk in which we prove functorial semistable reduction for families of varieties in characteristic 0, refining work with Karu from 2000. Techniques developed for moduli spaces enter in unexpected ways.

 ThursdayMarch 14, 20191:00 PM Math Tower 5-127 Symplectic Geometry SeminarWeiwei Wu, University of Georgia TBATBA

 ThursdayMarch 14, 20192:30 PM P-131 Analysis SeminarLutz Warnke, Georgia Tech TBATBA

 WednesdayMarch 20, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminar Spring Break!

 TuesdayMarch 26, 20194:00 PM - 5:00 PM S-240 Special LecturesGraduate students, Stony Brook University Graduate student recitals 1

 WednesdayMarch 27, 20194:00 PM - 5:30 PM S-240 Special LecturesGraduate students, Stony Brook University Graduate student recitals 2

 WednesdayMarch 27, 20192:30 PM - 3:30 PM Math Tower P-131 Mini Course / Dynamics Learning SeminarJonathan Fraser, University of St Andrews Dimensions of Kleinian limit setsThe dimension theory of geometrically finite Kleinian groups and their limit sets has a rich and interesting history, with the first calculation of Hausdorff dimension going back to seminal work of Patterson and Sullivan from the 1970s and 80s. There are many different (but related) notions of dimension but, nevertheless, many of the most popular coincide in this setting. In particular, the Hausdorff, box-counting, and packing dimensions of a Kleinian limit set are all given by the Poincare exponent of the group. I will discuss recent work concerning the Assouad dimension, which is not necessarily given by the Poincare exponent in the presence of parabolic points.

 WednesdayMarch 27, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminar No meeting this week

 ThursdayMarch 28, 20191:00 PM Math Tower 5-127 Symplectic Geometry SeminarXiaomeng Xu, MIT TBATBA

 ThursdayMarch 28, 20194:00 PM - 5:00 PM SCGP Auditorium ColloquiumSimon Donaldson, SCGP TBA

 ThursdayMarch 28, 20192:30 PM P-131 Analysis SeminarSean Li, University of Connecticut TBA

 TuesdayApril 02, 20194:00 PM - 5:30 PM Math Tower P-131 Geometry/Topology SeminarSimons Lectures, Stony Brook University no Geometry/Topology seminar

 TuesdayApril 02, 20195:30 PM - 6:30 PM Math Tower 5-127 First and Second Year Student SeminarMoira Chas, Stony Brook University TBATBA

 WednesdayApril 03, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminarIgnacio Barros, Northeastern University TBA

 ThursdayApril 04, 20191:00 PM Math Tower 5-127 Symplectic Geometry SeminarYaron Ostrover, Tel Aviv/IAS TBATBA

 ThursdayApril 04, 20192:15 PM Math Tower 5-127 Symplectic Geometry SeminarBarney Bramham, Bochum/IAS TBATBA

 ThursdayApril 04, 20192:30 PM P-131 Analysis SeminarMichael Damron, Georgia Tech TBATBA

 FridayApril 05, 20192:30 PM - 3:30 PM Math Tower P-131 Dynamical Systems SeminarMalik Younsi, University of Hawaii TBATBA

 ThursdayApril 11, 20192:30 PM P-131 Analysis SeminarLi-Cheng Tsai, Columbia University TBATBA

 FridayApril 12, 20192:30 PM - 3:30 PM Math Tower P-131 Dynamical Systems SeminarJing Tao, University of Oklahoma TBATBA

 WednesdayApril 17, 20192:30 PM - 3:30 PM Math Tower P-131 Mini Course / Dynamics Learning SeminarJohn Milnor, Stony Brook University TBATBA

 ThursdayApril 18, 20192:15 PM Math Tower 5-127 Symplectic Geometry SeminarZhenkun Li, MIT TBATBA

 ThursdayApril 18, 20191:00 PM Math Tower 5-127 Symplectic Geometry SeminarGergő Pintér, Eotvos Lorand U. TBATBA

 ThursdayApril 18, 20192:30 PM P-131 Analysis SeminarAntonio De Rosa, NYU TBATBA

 FridayApril 19, 20192:30 PM - 3:30 PM Math Tower P-131 Dynamical Systems SeminarSaeed Zakeri, CUNY TBATBA

 WednesdayApril 24, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminarValery Alexeev, University of Georgia TBA

 ThursdayApril 25, 20191:00 PM - 2:15 PM Math Tower 5-127 Seminar in Topology and Symplectic GeometryRukmini Dey, ICTS-TIFR, Bangalore The Quillen Determinant Bundle and Geometric Quantization of Various Moduli SpacesTBA

 ThursdayApril 25, 20194:00 PM - 5:00 PM Math Tower P-131 ColloquiumJohn Morgan, SCGP TBA

 WednesdayMay 01, 20194:00 PM - 5:30 PM Math Tower P-131 Algebraic geometry seminarAndrew Obus, Baruch College CUNY TBATBA

 ThursdayMay 02, 20192:30 PM P-131 Analysis SeminarHoi Nguyen, Ohio State University TBATBA

 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter Seminar Analysis Seminar Analysis Student Seminar Capsule Research Talks Colloquium Commencement Ceremony Comprehensive Exams Dynamical Systems Seminar Equivalence Method and Exterior Differential Systems Seminar First and Second Year Student Seminar Friday Summer Meeting Geometric Analysis Learning Seminar Geometry/Topology Seminar Grad / Postdoc Professional Development Seminar Graduate Student Seminar Graduate Topology Seminar Grant Proposal Panel Hodge Theory, Moduli and Representation Theory Holiday Party Joint Columbia-CUNY-Stony Brook General Relativity Seminar Math and Art Symposium for Tony Phillips Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Department Gathering Mathematics Education Colloquium Mathematics Summer Camp Mini Course / Dynamics Learning Seminar Mini-School in Geometry Minicourse in Real Enumerative Geometry New Graduate Students NY General Relativity Seminar Postdoc Geometry/Dynamics Seminar Postdoc Seminar Representation Theory Student Seminar RTG Colloquium RTG Seminar RTG Student Geometry Seminar SCGP Seminars Seminar in Topology and Symplectic Geometry Seminar on algebraic structures in physics Simons Colloquium Simons Lectures Series Singular metrics and direct images Special Algebra / Algebraic Geometry Seminar Special Analysis Seminar Special Colloquium Special Dynamics Seminar Special Geometry/Topology Seminar Special Lectures Special Seminar in Algebraic Geometry Special Topology Seminar Student Algebraic Geometry Seminar Student Differential Geometry Seminar Student Gauge Theory Seminar Student Seminar on Differential Geometry and Analysis Summer Workshop in Topology and Geometry Symplectic Geometry Reading Seminar Symplectic Geometry Seminar Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars