Previous Conferences & Workshops
10:00am|Simonyi Hall 101 and Remote Access
Space vectors forming rational angles
Bjorn Poonen
In 1895, Hill discovered a $1$-parameter family of tetrahedra
whose dihedral angles are all rational multiples of $\pi$. In 1976,
Conway and Jones related the problem of finding all such tetrahedra
to solving a polynomial equation in roots of unity...
The affine Hecke category is a monoidal colimit
James Tao
3:00pm|Simonyi Hall 101 and Remote Access
We will discuss the following theorems concerning colimits taken
in the infinity-category of monoidal DG-categories. (No familiarity
with infinity-categories will be required or assumed.) The affine
Hecke category is the monoidal colimit of its...
Norm stability in the unitary case from Voiculescu to Gromov-Lawson
Shmuel Weinberger
This expository talk will try to bridge the first examples of
"almost commuting" unitary matrices that are not almost "commuting
unitaries" due to Voiculescu to a more sophisticated and very
beautiful construction of examples by Gromov and Lawson in...
In this talk we will present two perspectives on the
p-Kazhdan-Lusztig basis and its combinatorics, giving a glimpse of
its complexity. This talk does not provide many answers, but will
hopefully raise many interesting questions and is based on...
∞-topoi in topology and geometry
1:30pm|Simonyi Hall 101 and Remote Access
Introduction to Laplacian Linear Systems for Undirected Graphs
10:30am|Remote Access - see Zoom link below
This talk gives an introduction on how to quickly solve linear
systems where the matrix of the system is the Laplacian matrix of
any undirected graph. No prior familiarity with optimization is
assumed. In the process, we will cover:
Spread of infections in random walkers
Allan Sly
We consider a class of interacting particle systems with two
types, A and B which perform independent random walks at different
speeds. Type A particles turn into type B when they meet another
type B particle. This class of systems includes models...
Astrophysical fluid dynamics
2:00pm|Simonyi Hall 101 and Remote Access
Most of the visible matter in the Universe is a plasma, that is
a dilute gas of ions, electrons, and neutral atoms. In many
circumstances, the dynamics of this plasma can be modeled in the
continuum limit, using the equations of fluid mechanics...
Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion
Zongchen Chen
11:15am|Remote Access - see Zoom link below
We consider the Glauber dynamics (also called Gibbs sampling)
for sampling from a discrete distribution in high-dimensional space
(e.g., selecting a uniformly random legal coloring or independent
set in a given graph, or selecting a "typical" state...
