In this talk we will begin the discussion of the results in
Bezrukavnikov's "On Two Geometric Realizations of the Affine Hecke
algebra". We will put all the previous tools described in this
series of talks together to construct the equivalence of...
Constraint metric approximation is about constructing an
approximation of a group G, when the approximation is already given
for a subgroup H. Similarly, constraint stability is about lifting
a representation of a group G, when the lift is already...
Random sampling a subgraph of a graph is an important
algorithmic technique. Solving some problems on the (smaller)
subgraph is naturally faster, and can give either a useful
approximate answer, or sometimes even give a result that can be
quickly...
New types of symmetries have been considered in algebra and
algebraic geometry and a higher analog of representation theory has
been developed to answer questions of classical representation
theory. Geometric representation theory can be viewed as...
For a fixed integer k > 1, the Boolean k-XOR problem consists
of a system of linear equations mod 2 with each equation involving
exactly k variables. We give an algorithm to strongly refute
*semi-random* instances of the Boolean k-XOR problem on n...
I will discuss ongoing work about a string theoretic
perspective on the 2d Bethe/Gauge correspondence of
Nekrasov-Shatashvili. In this work, we focus on gl(M|N) spin
chains. We show that the two sides of the correspondence, the
integrable spin chain...
The physicist Abrikosov predicted that in certain
superconductors, one should observe triangular lattices of
vortices, now called Abrikosov lattices. When studying ground
states of Coulomb gases, which is motivated by questions in
approximation...
In this talk, I will give an overview of some recent results
motivated by the computation and applications of persistent
homology, a theory that creates a bridge between the continuous
world of topology and the discrete world of data, and
assigns...
The group of Hamiltonian diffeomorphisms of a symplectic
manifold admits a remarkable bi-invariant metric, called Hofer’s
metric. My talk will be about a recent joint work with Dan
Cristofaro-Gardiner and Vincent Humilière resolving the
following...
Art critic and historian, Hal Foster, will discuss how artists
created an aesthetic of “positive barbarism” in a world devastated
by World War II, the Holocaust, and the atomic bomb.
