# Mathematics Department

Last updated: 2018/01/16 - 10:05am

#### Stark's Conjectures and Hilbert's 12th Problem

##### Samit Dasgupta (UC Santa Cruz, Mathematics)
Wednesday, January 17 - 12:00 pm
Physics 119

In this talk we will discuss two central problems in algebraic number theory and their interconnections: explicit class field theory (also known as Hilbert's 12th Problem), and the special values of L...

#### 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...

#### TBA

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

#### TBA

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

#### TBA

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

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

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