Tuesday September 10, 2019 2:30 PM 5127
 Ramin TaklooBighash, Stony Brook University
Applications of Tauberian theorems to counting arithmetic objects.In this talk I will recall some standard tauberian theorems from complex analysis and I will explain how these theorems are used to study the distribution of objects of arithmetic interest, e.g., prime numbers, rational points, orders in number fields, etc, using zeta functions. The talk starts with Riemann's original sketch of the proof of the Prime Number Theory that led to the formulation of the Riemann's Hypothesis and ends with some recent progress made by the speaker in collaboration with several of his coauthors.

Thursday September 26, 2019 2:30 PM P131
 Mihalis Mourgoglou, UPV/EHU
PDEcharacterization of uniform rectifiability and the solvability of the $L^p$Dirichlet problem.In this talk we will discuss the connection between uniform rectifiability of the boundary of a domain with scale invariant PDE estimates for bounded harmonic functions as well as the geometric characterization of the solvability of the $L^p$Dirichlet problem for the Laplace equation

Thursday October 03, 2019 2:30 PM P131
 Dimitris Koukoulopoulos, UD Montreal
TBATBA

Thursday October 10, 2019 2:30 PM P131
 Chris Henderson, University of Arizona
TBATBA

Thursday October 24, 2019 2:30 PM P131
 Frank Thorne, University of South Carolina
TBATBA

