Stony Brook Analysis Seminar, 2019-2020
Thursday 2.30 - 3.30 pm
Room P-131
Schedule
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September 10
Ramin Takloo-Bighash (University of Illinois at Chicago)
Applications of Tauberian theorems to counting arithmetic objects.
Abstract. 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.
TBA
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September 26
Mihalis Mourgoglou (UPV/EHU)
PDE-characterization of uniform rectifiability and the solvability of the Lp-Dirichlet problem.
Abstract. 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 Lp-Dirichlet problem for the Laplace equation.
TBA
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October 3
Dimitris Koukoulopoulos (UD Montreal)
TBA
Abstract.
TBA
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October 10
Chris Henderson (University of Arizona)
TBA
Abstract.
TBA
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October 17
Ben Krause (Princeton University)
TBA
Abstract.
TBA
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October 24
Frank Thorne (University of South Carolina)
TBA
Abstract.
TBA