## "Black Metaphors: How Modern Racism Emerged from Medieval Race-Thinking - and Why It Matters"

Cord Whitaker, Member, School of Historical Studies

November 1, 2019

Andrey Kupavskii

Member, School of Mathematics

October 29, 2019

Extremal set theory typically asks for the largest collection of sets satisfying certain constraints. In the first talk of these series, I'll cover some of the classical results and methods in extremal set theory. In particular, I'll cover the recent progress in the Erdos Matching Conjecture, which suggests the largest size of a family of k-subsets of an n-element set with no s pairwise disjoint sets.

Zeev Dvir

Princeton University

October 28, 2019

Anna Gilbert

University of Michigan; Member, School of Mathematics

October 28, 2019

Nikhil Savale

University of Cologne

October 28, 2019

We prove several relations between spectrum and dynamics including wave trace expansion, sharp/improved Weyl laws, propagation of singularities and quantum ergodicity for the sub-Riemannian (sR) Laplacian in the four dimensional quasi-contact case. A key role in all results is played by the presence of abnormal geodesics and represents the first such appearance of these in sub-Riemannian spectral geometry.

Angel Martinez Martinez

Member, School of Mathematics

October 28, 2019

In this talk I will describe joint work with D. Alonso-Orán and A. Córdoba where we extend a result, proved independently by Kiselev-Nazarov-Volberg and Caffarelli-Vasseur, for the critical dissipative SQG equation on a two dimensional sphere. The proof relies on De Giorgi technique following Caffarelli-Vasseur intermingled with a nonlinear maximum principle that appeared later in the approach of Constantin-Vicol. The final result can be paraphrased as follows: if the data is sufficiently smooth initially then it is smooth for all times.

Tom Hartman

Cornell University

October 28, 2019

I will discuss time-dependent probes of the renormalization group, and derive new constraints that govern the spread of local operators in holographic theories. The same methods lead to sum rules for inflationary correlators, relating observables, like the speed of sound during inflation, to properties of the UV theory.

Lorenz Eberhardt

Member, School of Natural Sciences, IAS

October 25, 2019

Akshay Venkatesh

Robert & Luisa Fernholz Professor

October 25, 2019

Trevor Wooley

Purdue University

October 24, 2019