Title: Embeddings of the Heisenberg group and the Sparsest Cut problem Speaker: Robert Young (Courant Institute)
Time: Friday, January 19, 2018 at 1:30 pm Place: MONT 414Abstract: The Heisenberg group $\mathbb{H}$ is a sub-Riemannian manifold that is hard to embed in $\mathbb{R}^n$. Cheeger and Kleiner introduced a new notion of differentiation that they used to show that it does not embed nicely into $L_1$. This notion is based on surfaces in $\mathbb{H}$, and in this talk, we will describe new techniques that let us quantify the "roughness" of such surfaces, find sharp bounds on the distortion of embeddings of $\mathbb{H}$, and estimate the accuracy of an approximate algorithm for the Sparsest Cut Problem. (Joint work with Assaf Naor)

Title: TBA Speaker: Hyunchul Park (SUNY at New Paltz)
Time: Friday, February 16, 2018 at 1:30 pm Place: MONT 414

Title: TBA Speaker: Simon Bortz (University of Minnesota)
Time: Friday, March 9, 2018 at 1:30 pm Place: MONT 414

Title: TBA Speaker: Silvia Ghinassi (Stony Brook University)
Time: Friday, March 30, 2018 at 1:30 pm Place: MONT 414

Title: TBA Speaker: Tapio Rajala (University of Jyvaskyla)
Time: Friday, April 13, 2018 at 1:30 pm Place: MONT 414

Title: TBA Speaker: Jeremy Tyson (University of Illinois at Urbana-Champaign)
Time: Friday, April 20, 2018 at 1:30 pm Place: MONT 414