I will explain the notion of twisted generating function and
show that a closed exact Lagrangian submanifold LL in the
cotangent bundle of MM admits such a thing. The type of
function arising in our construction is related to Waldhausen's
tube space...
I will discuss some new results on the structure of Selmer
groups of finite Galois modules over global fields. Tate's
definition of the Cassels-Tate pairing can be extended to a pairing
on such Selmer groups with little adjustment, and many of
the...
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...
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...
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:
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...
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...
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...
Gross and Siebert have recently proposed an "intrinsic"
programme for studying mirror symmetry. In this talk, we will
discuss a symplectic interpretation of some of their ideas in the
setting of affine log Calabi-Yau varieties. Namely, we
describe...
