from Friday
June 01, 2018 to Monday
December 31, 2018
 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

 WednesdaySeptember 12, 20181:00 PM - 2:00 PM Math Tower P-131 Tobias Shin, Stony Brook University Roots of topologyWe will discuss polynomials, covering spaces, and Galois theory, and how they all relate through the unifying concept of “resolvent degree”, following Farb and Wolfson. We will also see how this concept relates Hilbert’s 13th problem (among others) to classical enumerative problems in algebraic geometry, such as 27 lines on a smooth cubic, 28 bitangents on a planar quartic, etc.

 WednesdaySeptember 19, 20181:00 PM - 2:00 PM Math Tower P-131 Jack Burkart, Stony Brook University Improving Liouville's Theorem for Harmonic FunctionsLiouville's theorem says that the only harmonic functions on $R^n$ that are bounded above are actually constant. We will discuss the proof of this fact using Harnack's inequality, which is a primitive example of extremely useful "3-Ball inequalities" that show up in harmonic analysis. We will compare this continuous version to the discrete version of the Liouville theorem after defining harmonic functions on $Z^2$ in terms of the mean value property. In particular, we will discuss a recent advancement from 2017 due to Buhovsky, Logunov, Malinnikova, and Sodin, which says that, in a way that we will make precise, a harmonic function bounded on 99.999% of $Z^2$ must actually be constant.

 WednesdaySeptember 26, 20181:00 PM - 2:00 PM Math Tower P-131 Saman Habibi Esfahani, Stony Brook University The Symplectic Vortex EquationsWe define invariants...

 WednesdayOctober 03, 20181:00 PM - 2:00 PM Math Tower P-131 Yoonjoo Kim, Stony Brook University Compact hyperkahler manifoldsCompact hyperkahler manifolds are one of the most rigid objects in both differential and algebraic geometry. They are Ricci-flat compact Kahler manifolds with quaternion structures. In this talk, we will present a short introduction on algebro-geometric aspect of the theory. We start from definition, and present examples and their special properties, which reflect their structural rigidity.

 WednesdayOctober 10, 20181:00 PM - 2:00 PM Math Tower P-131 Lisandra Hernandez, Stony Brook University Hyperbolic 3-Manifolds and Their ClassificationWe’ll begin with an excursion into the geometry and topology of hyperbolic space. This will be followed by a brief introduction to some tools in geometric group theory that will help us understand the fundamental group of hyperbolic 3-manifolds a little better. We’ll end the talk with a discussion of Thurston’s Hyperbolization conjecture.

 WednesdayOctober 17, 20181:00 PM - 2:00 PM Math Tower P-131 Jin-Cheng Guu, Stony Brook University A Generalization of Fourier AnalysisLet’s see how a group G (compact, connected) smoothly acts on a complex vector space. A fundamental case is when G is abelian (Fourier series), whose applications can be found in PDE, ergodic problems, number theory,... etc. We will then look at the easiest nonabelian case and a basic application to Quantum Mechanics if time permits. This talk is an invitation to an upcoming mini-seminar on representations of compact Lie groups.

 WednesdayOctober 24, 20181:00 PM - 2:00 PM Math Tower P-131 Ben Wu, Stony Brook University Two Spaces Associated to a Closed Riemann SurfaceIn this talk, we will construct two spaces that are naturally associated to a closed Riemann surface. These spaces can be seen as a toy model for a much more general theory. One of the spaces is related to the topology of the Riemann surface, while the other is related to the smooth structure. Even in our toy model, the geometry of these spaces interesting. Although these two spaces consist of different objects, we will show that they are actually equivalent. Studying generalizations of this equivalence lead to the Riemann Hilbert correspondence which provide strong links between topology and algebra.

 WednesdayOctober 31, 20181:00 PM - 2:00 PM Math Tower P-131 Jacob Mazor, Stony Brook University Kakeya Sets and the Finite Field Kakeya ConjectureIf K is a set in the plane which contains a unit line segment pointing in every direction, how large must it be? It turns out that we may construct such a set with zero Lebesgue measure. (!) However any such set must be "rather large" for a measure zero set. Does this result extend to such sets in higher dimensions? We will discuss a formulation for vector spaces over finite fields: what is the minimum number of points that must be contained in some $K⊂ F^n_q$ which contains a line in every direction?

 WednesdayNovember 07, 20181:00 PM - 2:00 PM Math Tower P-131 Jean-Francois Arbour, Stony Brook University TBATBA

 WednesdayNovember 14, 20181:00 PM - 2:00 PM Math Tower P-131 Runjie Hu, Stony Brook University K Theory and Division AlgebrasThe only dimensions of division algebras over the real numbers are only 1, 2, 4 and 8. We would introduce the topological approach for this problem without assumption of norm preserving. This result is equivalent to the H-space structures on spheres, which is to require the hopf invariant of the spheres should be one. I would briefly introduce the K theory and Adams operation and use this powerful tool to prove the problem of division algebras.

 WednesdayNovember 28, 20181:00 PM - 2:00 PM Math Tower P-131 John Sheridan, Stony Brook University A glimpse of modular formsModular forms are holomorphic functions on the upper half plane satisfying a particular symmetry property. Despite this fairly innocent definition their theory often has a reputation for inaccessibility. We will do a shallow dive into the theory of modular forms, comparing them with polynomials and investigating classical results such as their finite dimensionality and some of the beautiful numerical identities they encode. Overall, we will try and get a first sense of how and why these functions pop up in some of the various places that they do.

 WednesdayDecember 05, 20181:00 PM - 2:00 PM Math Tower P-131 Lisa Marquand, Stony Brook University Journey to the TropicsTropical geometry is a relatively new field at the interface of algebraic geometry and combinatorics. We will explore the basics, discussing tropical plane curves and observing results that still hold tropically, such as Bezout's theorem. Through this friendly introduction, we will discuss the breakthrough that brought tropical methods to the attention of geometers - Gromov-Witten invariants of the plane.

 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