Previous Conferences & Workshops

2:00 pm Talk(Seyfaddini): The algebraic structure of various groups of homeomorphisms and diffeomorphisms was studied extensively in the 1960s and 1970s, when it was shown that these groups are (mostly) simple. A notable open case concerned the...

11:00 am Talk(Cristofaro-Gardiner): Recently, a number of formulas reminiscent of Weyl's law have been discovered in the context of symplectic geometry. Various three-manifold invariants, defined by building on ideas originating in Morse theory...

A surprising property of the cohomology of locally symmetric spaces is that Hecke operators can act on multiple cohomological degrees with the same eigenvalues. In a series of papers, Venkatesh and his collaborators proposed an arithmetic reason for...

In this talk, I’ll describe one of the most surprising algorithms in computer science: a way to count arbitrarily high while maintaining just three bits of state and a clock. It turns out that the main idea behind the algorithm also appears in a...

Differential Galois groups are algebraic groups that describe symmetries of some systems of differential equations. The solutions considered can live in any differential field and thus a natural framework to consider such symmetries is the setting...

The Shannon entropy of a discrete random variable quantifies the number of bits of information conveyed by sampling that variable. Although originally introduced in the context of information theory, techniques relying on Shannon entropy have been...

In this talk, I will completely describe the decomposition of an oscillator representation under the tensor embedding of a product of a symplectic and orthogonal group in the case of finite fields via a correspondence proposed by Roger Howe...

Harmonic analysis studies functions on the real line by expanding them as sums of frequencies (exponentials) and analyzing how each term contributes to the whole. In many applications—such as speech recognition—only the low frequencies matter.

Over...

The Hopf-Tsuji-Sullivan theorem states that the geodesic flow on (an infinite) Riemann surface is ergodic iff the Poincare series is divergent iff the Brownian motion is recurrent. Infinite Riemann surfaces can be built by gluing infinitely many...