I will discuss the relationship between positive loops of
contactomorphisms of a fillable contact manifold and the symplectic
cohomology (SH) of the filling. The main result is that the
existence of a positive loop which is "extensible" implies
In this talk, I will first describe how classical Dieudonne
module of finite flat group schemes and p-divisible groups can be
recovered from crystalline cohomology of classifying stacks. Then,
I will explain how in mixed characteristics, using...
Humans tend to be better at physics than at mathematics.
After all, when an apple falls from a tree, there are more
people who can catch it—they know physically how the apple
moves—than people who can compute its trajectory from a
I will discuss a result with Bonatti and Crovisier from 2009
showing that the C1 generic diffeomorphism f of a closed manifold
has trivial centralizer; i.e. fg = gf implies that g is a power of
f. I’ll discuss features of the C1 topology that enable...
Dimitroglou-Rizell-Golovko constructs a family of Legendrians in
prequantization bundles by taking lifts of monotone Lagrangians.
These lifted Legendrians have a Morse-Bott family of Reeb chords.
We construct a version of Legendrian Contact Homology...
In this talk, I will discuss progress on showing hardness of the
Minimum Circuit Size Problem (MCSP). The computational complexity
of MCSP is a longstanding mystery, dating back as far as Levin's
seminal work on NP-completeness in 1973. Over the past...
I will describe the construction of a harmonic measure that
reproduces a harmonic function from its Robin boundary data, which
is a combination of the value of the function and its normal
derivative. I shall discuss the surprising fact that this...
Consider a scenario where we are learning a predictor, whose
predictions will be evaluated by their expected loss. What if we do
not know the precise loss at the time of learning, beyond some
generic properties (like convexity)? What if the same...
Let G be an infinite discrete group. Finite dimensional unitary
representations of G are usually quite hard to understand. However,
there are interesting notions of convergence of such
representations as the dimension tends to infinity. One notion