## Seed binary black hole production and coalescence in disks around AGN's

Lin, Doug

November 29, 2017

Lin, Doug

November 29, 2017

Naoz, Smadar

November 29, 2017

Leigh, Nathan

November 29, 2017

Amaro-Seoane, Pau

November 29, 2017

Luetzgendorf, Nora

November 29, 2017

Greta Panova

University of Pennsylvania; von Neumann Fellow, School of Mathematics

November 28, 2017

Akshay Venkatesh

Stanford University; Distinguished Visiting Professor, School of Mathematics

November 28, 2017

In the lectures I will formulate a conjecture asserting that there is a hidden action of certain motivic cohomology groups on the cohomology of arithmetic groups. One can construct this action, tensored with $\mathbb C$, using differential forms. Also one can construct it, tensored with $\mathbb Q_p$, by using a derived version of the Hecke algebra (or a derived version of the Galois deformation rings).

Hector Pasten

Harvard University

November 28, 2017

Existing unconditional progress on the abc conjecture and Szpiro's conjecture is rather limited and coming from essentially only two approaches: The theory of linear forms in $p$-adic logarithms, and bounds for the degree of modular parametrizations of elliptic curves by using congruences of modular forms. In this talk I will discuss a new approach as well as some unconditional results that it yields.

Marta Volonteri

Institut d'Astrophysique, Paris

November 28, 2017

Yu-Shen Lin

Harvard University

November 27, 2017

We will explain a definition of open Gromov-Witten invariants on the rational elliptic surfaces and explain the connection of the invariants with tropical geometry. For certain rational elliptic surfaces coming from meromorphic Hitchin system, we will show that the open Gromov-Witten invariants with boundary conditions near infinity (up to some transformation) coincide with the closed geodesic counting invariants defined by Gaiotto-Moore-Neitzke, which are integer-valued.