Past Events
These lectures will be an introduction to Voevodsky's theory of motivic sheaves. In the first lecture we will try to understand what the theory is supposed to look like, according to Beilinson's 1985 conjectures. To better appreciate these we will briefly review some of the ideas that influenced…
In this joint work with Caroline Turnage-Butterbaugh, we study the family of Dirichlet $L$-functions of all even primitive characters of conductor at most $Q$, where $Q$ is a parameter tending to infinity. We approximate the twisted $2k$th moment of this family using Dirichlet polynomials of…
Abstract: We consider a Schr\”odinger of equations with a general interaction term, which is linear or nonlinear, time dependent and including charge transfer potentials. Without the assumption of radial symmetry, we prove the global solutions are asymptotically given by a free wave and a…
These lectures will be an introduction to Voevodsky's theory of motivic sheaves. In the first lecture we will try to understand what the theory is supposed to look like, according to Beilinson's 1985 conjectures. To better appreciate these we will briefly review some of the ideas that influenced…
I will present a briefly overview about the Cheeger-Müller theorem and discuss the recent advances of the extension of this theorem in spaces with conical singularities. In particular, I will describe the ongoing project about the extension of Cheeger-Müller theorem for spaces with conical…
Geometric Applications of Microlocal Analysis Conference
September 2nd - September 5th, 2022
A Conference Celebrating Professor Rafe Mazzeo's 60th Birthday
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In this introductory talk, we will define o-minimality (a way of augmenting algebraic geometry with functions like $e^x$, $\sin$, $\cos$, etc.), and show:
(1) The number of solutions to a system of polynomials equations is bounded by a function of the sizes of the supports of the…
In this talk, we discuss the regularity and renormalized volume of minimal submanifolds, Y, of arbitrary codimension in Poincare-Einstein manifolds, M. Using geometric and microlocal techniques, we derive polyhomogeneous expansions for the minimal submanifold and variations along it. We then…
Geometric Applications of Microlocal Analysis Conference
September 2nd - September 5th, 2022
A Conference Celebrating Professor Rafe Mazzeo's 60th Birthday
…
Abstract