Past Events

To bound the Bloch-Kato Selmer group of certain Rankin-Selberg L-functions, we construct a
Bertolini-Darmon-Kolyvagin system using cycles on the product of unitary Shimura varieties.
This allows us to relate the triviality/nontriviality of the Selmer group to the vanishing order
of…

Chen Lu -  "AMP and an Information- Computation Gap"

Nina Zubrilina -  "Irreducible Polynomials with 0,1 Coefficients"

Scott Mutchnik -  "Stacks and the Moduli Space of Curves"

A consequence of Mostow-Prasad rigidity is that the trace-field of an orientable finite volume hyperbolic 3-manifold M is a number field. In addition, there is a quaternion algebra over this number field that is also a natural invariant associated to M. This talk will review this background, and…

Computation of Wilson loop expectations in lattice gauge theories is an important goal in quantum field theory, which remains mostly out of the reach of rigorous mathematics. In this talk I will present a calculation of the leading order term of Wilson loop expectations in the weak coupling…

Large sieve inequalities provide number theorists with a notion of “quasi-orthogonality” for families of arithmetic objects (Dirichlet characters, elliptic curves, Artin representations, automorphic representations, etc.). Such inequalities are crucial in many averaging problems and…