Geometry/Topology Seminar

from Monday
January 01, 2018 to Thursday
May 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 Club Math Day 2016 Math in Jeans Mathematical Writing Seminar 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 RTG Colloquium RTG Seminar RTG Student Geometry Seminar 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 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

 TuesdayFebruary 06, 20184:00 PM - 5:30 PM Math Tower P-131 Jingrui Cheng, University of Wisconsin, Madison On constant scalar curvature Kaehler metricsThis is a continuation of Chen's colloquium on Feb 1st.

 TuesdayFebruary 13, 20184:00 PM - 5:30 PM Math Tower P-131 Pan Jiayin, Rutgers Nonnegative Ricci curvature, stability at infinity, and finite generation of fundamental groupsAbstract: In 1968, Milnor conjectured that any open n-manifold $M$ of non-negative Ricci curvature has a finitely generated fundamental group. This conjecture remains open today. In this talk, we show that if there is an integer $k$ such that any tangent cone at infinity of the Riemannian universal cover of $M$ is a metric cone, whose maximal Euclidean factor has dimension $k$, then $π_1(M)$ is finitely generated. In particular, this confirms the Milnor conjecture for a manifold whose universal cover has Euclidean volume growth and unique tangent cone at infinity.

 TuesdayMarch 06, 20184:00 PM - 5:30 PM Math Tower P-131 Mark Stern, Duke University Nahm Transform for ALF spacesI will report on progress (joint with Andres Larrain-Hubach and Sergey Cherkis) on establishing Sergey's conjectured Nahm transform for multicenter Taub NUT spaces.

 TuesdayMarch 20, 20184:00 PM - 5:30 PM Math Tower P-131 Bianca Santoro, City College Bifurcation of periodic solutions to the singular Yamabe problem on spheresIn this talk, we describe how to obtain uncountably many periodic solutions to the singular Yamabe problem on a round sphere that blow up along a great circle. These are complete constant scalar curvature metrics on the complement of S^1 inside S^m, m ≥ 5, conformal to the round metric and periodic in the sense of being invariant under a discrete group of conformal transformations. These solutions come from bifurcating branches of constant scalar curvature metrics on compact quotients of S^m \ S^1. This is a joint work with R. Bettiol (UPenn) and P. Piccione (USP-Brazil).

 TuesdayApril 03, 20184:00 PM - 5:30 PM Math Tower P-131 Lorenzo Foscolo, TBATBA

 TuesdayApril 10, 20184:00 PM - 5:30 PM Math Tower P-131 Heather MacBeth, MIT Kahler-Ricci solitons on resolutions of quotient singularitiesBy a gluing construction, we produce steady Kahler-Ricci solitons on equivariant crepant resolutions of quotient singularities C^n/G, with the same asymptotics as Cao's soliton on C^n. This is joint work with Olivier Biquard.

 TuesdayApril 17, 20184:00 PM - 5:30 PM Math Tower P-131 John Alex Cruz Morales, Universidad Nacional. Colombia, South America Quantum cohomology of Grassmannians and Lefschetz exceptional collections. The relations between quantum cohomology and exceptional collections are known since Dubrovin's ICM talk in 1998. Those relations are, in fact, part of the big program of Homological mirror symmetry proposed by Kontsevich in his ICM talk in 1994. In this talk we will discuss some results relating the quantum cohomology of the isotropic Grassmannian IG(2,2n) and its derived category In particular, we will show that certain decomposition of the F-manifold structure of the quantum cohomology is related to certain semiorthogonal decomposition of the derived category. This is a joint work with Alexander Kuznetsov, Anton Mellit, Nicolas Perrin, Maxim Smirnov.

 TuesdayApril 24, 20184:00 PM - 5:30 PM Math Tower P-131 Ruobing Zhang, Stony Brook University Nilpotent Structure and Ricci-Flat Metrics on K3 SurfacesWe will exhibit some new examples of collapsed hyperkähler metrics on a K3 surface which collapse to the standard metric of a closed interval. Geometrically, each regular fiber is a Heisenberg manifold and each singular fiber is a singular circle bundle over a torus. In our example, each bubble limit is either the (multi-)Taub-NUT space or a complete hyperkähler space constructed by Tian-Yau. The regularity estimates in this example in fact confirm a general regularity theory for collapsed Einstein manifolds. We will also discuss some variations of the main gluing construction and some possible developments.

 TuesdayMay 01, 20184:00 PM - 5:30 PM Math Tower P-131 Yann Rollin, University of Nantes Discrete geometry and isotropic surfacesWe consider smooth isotropic immersions from the 2-dimensional torus into R2n, for n≥2. When n=2 the image of such map is an immersed Lagrangian torus of R4. We prove that such isotropic immersions can be approximated by arbitrarily C0-close piecewise linear isotropic maps. If n≥3 the piecewise linear isotropic maps can be chosen so that they are piecewise linear isotropic immersions as well. The proofs are obtained using analogies with an infinite dimensional moment map geometry due to Donaldson. As a byproduct of these considerations, we introduce a numerical flow in finite dimension, whose limit provide, from an experimental perspective, many examples of piecewise linear Lagrangian tori in R4. The DMMF program, which is freely available, is based on the Euler method and shows the evolution equation of discrete surfaces in real time, as a movie. This is joint work with François Jauberteau and Samuel Tapie.

 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 Club Math Day 2016 Math in Jeans Mathematical Writing Seminar 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 RTG Colloquium RTG Seminar RTG Student Geometry Seminar 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 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