Geometry/Topology Seminar

from Thursday
June 01, 2017 to Sunday
December 31, 2017
 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter 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 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 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

 TuesdaySeptember 12, 20174:00 PM - 5:30 PM Math Tower P-131 Christina Sormani, CUNY Rectifiablility of Gromov-Hausdorff LimitsThe Gromov-Hausdorff limits of sequences of Riemannian manifolds do not in general have any regularity. Ranaan Schul and Stefan Wenger produced a sequence of such manifolds which are noncollapsing (and even have a uniform contractibility function) whose limit space is not even countably $H^m$ rectifiable. If one has a uniform lower bound on sectional curvature then the limit is an Alexandrov space which is rectifiable by a theorem of Burago-Gromov-Perelman, and if one one has a uniform lower bound on Ricci curvature, Cheeger-Colding proved rectifiability and more. By definition the intrinsic flat limits of Riemannian manifolds are always countably $H^m$ rectifiable, and so one may prove a GH limit is rectifiable by proving the GH and intrinsic flat limits agree. This was first done in a joint paper with Wenger applying the Gromov filling volume, and more recently in joint work with Portegies applying a new notion we call the sliced filling volume. I will also present work of postdocs in this area including: Matveev-Portegies, Perales and Li-Perales. This work is completely disjoint from my work on the convergence of manifolds with nonnegative scalar curvature as the GH and intrinsic flat limits do not agree and GH limits need not exist in that setting.

 TuesdaySeptember 26, 20174:00 PM - 5:30 PM Math Tower P-131 Mark Lawrence, Nazarbeyev University Totally real tori in $S^1 × C$ and their polynomial hulls.If $K ⊂ C^n$ is a compact subset, there is in general no hope of finding analytic structure in the polynomial hull $\hat{K}$ \K. Even for sets which are quite smooth, there are difficulties. In this talk, some theorems about analytic structure in the polynomial hull of a totally real torus in $S^1 × C$ will be discussed. Connections with knot theory (torus knots, quasipositivity) and holomorphic motions a la Slodkowski will be explained.

 TuesdayOctober 10, 20174:00 PM - 5:30 PM Math Tower P-131 Luca di Cerbo, Stony Brook University Minimal Volumes, Hyperbolic Geometry and Lattices in PU(2, 1)The study of (minimal) volumes in hyperbolic geometry has attracted quite a bit of attention in the mathematical community. In the first part of the talk, I will give an overview of this fascinating field and review some classical results. In the second part of the talk, I will describe new results concerning complex hyperbolic surfaces. This is based on a couple of joint papers with M. Stover.

 TuesdayOctober 17, 20174:00 PM - 5:00 PM Math Tower P-131 Jiyuan Han, UW-Madison On closedness of ALE SFK metrics on minimal ALE Kahler surfacesFor certain cases with some topological assumption that gives the boundedness of Sobolev constant, we construct the space of ALE SFK metrics on minimal ALE Kahler surfaces asymptotic to C^2/G, where G is a finite subgroup of U(2). This is a joint work with Jeff Viaclovsky.

 TuesdayOctober 24, 20174:00 PM - 5:30 PM SCGP 102 Mark Haskins, University of Bath Codimension One Collapse and Special Holonomy MetricsIn this talk we describe recent developments related to codimension one collapse of exceptional holonomy metrics. i.e. where a family of special holonomy metrics on a space of dimension n converges in some limit to a metric on a space of dimension n-1. Interesting examples occur for hyperkaehler 4-manifolds, G_2 holonomy manifolds and Spin_7 holonomy manifolds. The talk will focus on the G_2 holonomy case, but will also draw on the better understood hyperkaehler case for inspiration and for useful analogies. These mathematical developments are closely related to important limits in physics, e.g. in the context of G_2 holonomy metrics it is related to the identification of the weak coupling limit of M theory compactified on a G_2 holonomy space being Type IIA String Theory on a 6-dimensional space. This is work joint with Lorenzo Foscolo and Johannes Nordstrom.

 TuesdayOctober 31, 20174:00 PM - 5:30 PM Math Tower P-131 Nishanth Gudapati, Yale University TBA

 TuesdayNovember 07, 20174:00 PM - 5:30 PM Math Tower P-131 Mehdi Lejmi, CUNY TBA

 TuesdayNovember 14, 20174:00 PM - 5:30 PM Math Tower P-131 Eveline Legendre, Universite de Toulouse TBATBA

 TuesdayNovember 28, 20174:00 PM - 5:00 PM Math Tower P-131 Antonio Ache, University of Notre Dame TBA

 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter 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 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 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