Graduate Student Geometric Analysis Seminar
520 Mathematics Hall 520 MathSpeaker: Kyeongsu Choi Title: "The uniqueness of complete convex solutions to the mean curvature flow" Ref: K. Ecker & G. Huisken
Informal Mathematical Physics Seminar
507 Mathematics Hall 507 MathSpeaker: Dmitry Galakhov Title: "Spectral Networks with Spin" Abstract: The spectral network technique give a nice approach to a study of Donaldson-Thomas invariants of Calabi-Yau threefolds and homological theory of semi-stable quiver representations via behavior of certain differential equation solutions. These theories are known to perform a wall-crossing phenomena when the invariants start to change […]
COLUMBIA PROBABILITY SEMINAR
507 Mathematics Hall 507 MathSpeaker: Claudio Landim (IMPA Rio de Janeiro) Title: "Condensing zero-range processes" Abstract: Zero-range processes with decreasing jump rates exhibit a condensation transition, where a positive fraction of all particles condenses on a single lattice site when the total density exceeds a critical value. Consider a condensing zero-range process with $N$ particles evolving on a fixed and finite […]
Columbia Geometry & Analysis Seminar
622 Mathematics Hall 622 MathSpeaker:Matteo Bonforte, (Univesidad Autonoma de Madrid) Title: "A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on bounded domains" Abstract: We investigate quantitative properties of nonnegative solutions u(t, x) ≥ 0 to the nonlinear fractional diffusion equation, ∂tu + L(um) = 0, posed in a boundeddomain,x∈Ω⊂RN fort>0andm>1. AsLwecantake the most common definitions of the fractional Laplacian […]
Perspectives on Complex Algebraic Geometry
312 Mathematics Hall 312 MathThis workshop, to be held at Columbia from May 22 to May 25, celebrates the achievements and influence of Robert Friedman on the occasion of his 60th birthday. It will focus on the topology and geometry of algebraic surfaces and 4-manifolds, vector bundles and G-bundles, and geometric applications of Hodge theory. Further information, with a […]
Geometric Analysis Seminar
507 Mathematics Hall 507 MathSpeaker: Paul Bryan (UC San Diego) Title: "Weak differential inequalities for the Isoperimetric profile and comparison results." Abstract: The isoperimetric profile of a Riemannian manifold gives the least perimeter for a given fixed volume. Using variation techniques, a weak differential inequality may be obtained for the profile. I will describe how this inequality may then […]
Geometric Analysis Seminar
507 Mathematics Hall 507 MathSpeaker: Or Hershkovits (NYU Courant) Title: "Mean Curvature Flow of Reifenberg Sets." Abstract: The mean curvature flow, the gradient flow of the area functional, is one of the most natural geometric flows to consider for embedded hyper-surfaces in R^{n+1}. Classically, given a sufficiently smooth hyper-surface (for which both the area and its gradient are defined), there […]
Geometric Analysis Seminar
507 Mathematics Hall 507 MathSpeaker: Paul Bryan (UC San Diego) Title: "Weak differential inequalities for the Isoperimetric profile and comparison results, Part II" Abstract: The isoperimetric profile of a Riemannian manifold gives the least perimeter for a given fixed volume. Using variation techniques, a weak differential inequality may be obtained for the profile. I will describe how this inequality may […]
2016 SPRING TERM LECTURE SERIES
Sergiu Klainerman (Columbia University and Princeton University) “INTRODUCTION TO THE MATHEMATICAL THEORY OF BLACK HOLES” This is meant to be an introduction to the beautiful mathematical theory of Black Holes. The audience is expected to have some familiarity with the basic concepts in Riemannian Geometry and the basic properties of differential equations, such as the local […]
Schramm-Loewner Evolutions, Gaussian Free Field and Liouville Quantum Gravity
A workshop at Columbia University, March 13 - 17, 2017 The meeting is centered around recent advances in Schramm-Loewner Evolutions, Gaussian Free Field and Liouville Quantum Gravity. Organizers: Julien Dubedat (Columbia), Fredrik Viklund (KTH). The workshop is supported by the National Science Foundation (DMS 1308476) For more information please visit: SLE, GFF AND LQG in NYC […]
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