## Past Seminars

• Matthew Taylor Powell
Fri Oct 12, 2018
2:00 pm
I will present the paper "Quantum Dynamics and Decompositions of Singular   Continuous Spectra" by  Yoram Last.  Here is the link: https://www.sciencedirect.com/science/article/pii/S002212369690155X?via%...
• Travis Scholl
Thu Oct 11, 2018
3:00 pm
In this talk we will focus on constructing "super-isolated abelian varieties". These are abelian varieties that have isogeny class which contains a single isomorphism class. Their motivation comes from security concerns in elliptic and hyperelliptic curve cryptography. Using a theorem of Honda and Tate, we transfer the problem of finding...
• Mike Cranston
Thu Oct 11, 2018
12:00 pm
Mike Cranston will continue his talk on free probability based on the following expository paper by Roland Speicher: https://pdfs.semanticscholar.org/e098/e3b7cf104a23bc4f35432263d65a35f3a0...
• Yi Wang
Tue Oct 9, 2018
4:00 pm
We consider $\sigma_k$-curvature equation with $H_k$-curvature condition on a compact manifold with boundary $(X^{n+1}, M^n, g)$. When restricting to the closure of the positive $k$-cone, this is a fully nonlinear elliptic equation with a fully nonlinear Robin-type boundary condition. We prove a general bifurcation theorem in order to study...
• Guangbo Xu
Tue Oct 9, 2018
3:00 pm
In the celebrated work of Bershadsky--Cecotti--Ooguri--Vafa the genus one string partition function in the B-model is identified with certain analytic torsion of the Hodge Laplacian on a K\"ahler manifold. In a joint work with Shu Shen (IMJ-PRG) and Jianqing Yu (USTC) we study the analogous torsion in Landau--Ginzburg models. I will explain...
• Travis Scholl
Tue Oct 9, 2018
3:00 pm
Elliptic curve cryptography (ECC) is a widely used public key cryptosystem. The security of ECC relies on the difficulty of the elliptic curve discrete log problem (ECDLP). Isogenies are morphisms of curves that can be used to transfer instances of ECDLP between elliptic curves. Suppose that we suspect that some proportion of curves are...
• Alec Fox
Mon Oct 8, 2018
4:00 pm
This is the first in a series of introductory lectures in descriptive set theory, following Matt Foreman's expository paper. The topics discussed will be basics of Polish topologies, product topologies, Cantor space and Baire space, and infinite trees.