Mathematics Department

Last updated: 2018/01/18 - 4:21am

Sasaki-Einstein metrics and K-stability

Tristan Collins (Harvard University, Mathematics)
Friday, January 19 - 12:00 pm
Physics 119

I will discuss the connection between Sasaki-Einstein metrics and algebraic geometry in the guise of K-stability. In particular, I will give a differential geometric perspective on K-stability which...

An algorithm for overcoming the curse of dimensionality in Hamilton-Jacobi equations

Yat Tin Chow (UCLA)
Monday, January 22 - 12:00 pm
119 Physics

In this talk we discuss an algorithm to overcome the curse of dimensionality, in possibly non-convex/time/state-dependent Hamilton-Jacobi partial differential equations. They may arise from optimal...

Length of a shortest closed geodesic in manifolds of dimension 4

Nan Wu (University of Toronto)
Monday, January 22 - 3:15 pm
119 Physics

In this talk, we show that for any closed 4-dimensional simply-connected Riemannian manifold $M$ with Ricci curvature $|Ric| \leq 3$, volume $vol(M)>v>0$ and diameter \$diam(M) \leq D...

Mathematica 11 in Education and Research

Troy Schaudt (Wolfram Research, Inc.)
Tuesday, January 23 - 12:00 pm
Physics 119

This technical talk will show live calculations in Mathematica 11 and other Wolfram technologies relevant to courses and research. Specific topics include: * Enter calculations in everyday English,...

Combinatorial invariants of transverse links via cyclic branched covers

Mike Wong (Louisiana State University)
Tuesday, January 23 - 4:30 pm
NCSU SAS 2102

Grid homology is a version of knot Floer homology in the 3-sphere that is entirely combinatorial and simple to define. Exploiting this, Ozsvath, Szabo, and Thurston defined a combinatorial invariant...

Nonuniqueness of weak solutions to the Navier-Stokes equation

Tristan Buckmaster (Princeton University)
Wednesday, January 24 - 12:00 pm
119 Physics

For initial datum of finite kinetic energy Leray has proven in 1934 that there exists at least one global in time finite energy weak solution of the 3D Navier-Stokes equations. In this talk, I will...

TBA

Brendan Williamson
Monday, January 29 - 12:00 pm
119 Physics

Maximum Likelihood Density Estimation under Total Positivity

Elina Robeva (MIT)
Wednesday, January 31 - 12:00 pm
119 Physics

Nonparametric density estimation is a challenging problem in theoretical statisticsin general the maximum likelihood estimate (MLE) does not even exist! Introducing shape constraints allows a path...

TBA

Paul Bressloff (University of Utah)
Thursday, February 1 - 3:15 pm
119 Physics

abstract

Probabilistic limit theory for mean field games

Dan Lacker (Columbia University)
Thursday, February 8 - 3:15 pm
119 Physics

Mean field game theory describes continuum limits of symmetric large-population games. These games can often be seen as competitive extensions of classical models of interacting particle systems,...