Seminars and Colloquia by Series

Wednesday, April 3, 2019 - 13:55 , Location: Skiles 005 , Alex Stokolos , Georgia Southern , Organizer: Galyna Livshyts
Wednesday, March 27, 2019 - 13:55 , Location: Skiles 005 , Dmitry Bilyk , University of Minnesota , , Organizer: Galyna Livshyts
Wednesday, March 13, 2019 - 13:55 , Location: Skiles 005 , Olena Kozhushkina , Ursinus college , , Organizer: Galyna Livshyts
Wednesday, March 6, 2019 - 13:55 , Location: Skiles 005 , Hong Wang , MIT , Organizer: Shahaf Nitzan
Wednesday, February 27, 2019 - 13:55 , Location: Skiles 005 , Anna Skripka , University of New Mexico , Organizer: Galyna Livshyts
Wednesday, February 20, 2019 - 13:55 , Location: Skiles 005 , Steven Heilman , USC , Organizer: Galyna Livshyts
&nbsp;It is well known that a Euclidean set of fixed Euclidean volume with least Euclidean surface area is a ball.&nbsp; For applications to theoretical computer science and social choice, an analogue of this statement for the Gaussian density is most relevant.&nbsp; In such a setting, a Euclidean set with fixed Gaussian volume and least Gaussian surface area is a half space, i.e. the set of points lying on one side of a hyperplane.&nbsp; This statement is called the Gaussian Isoperimetric Inequality.&nbsp; In the Gaussian Isoperimetric Inequality, if we restrict to sets that are symmetric (A= -A), then the half space is eliminated from consideration.&nbsp; It was conjectured by Barthe in 2001 that round cylinders (or their complements) have smallest Gaussian surface area among symmetric sets of fixed Gaussian volume.&nbsp; We discuss our result that says this conjecture is true if an integral of the curvature of the boundary of the set is not close to 1. &nbsp;<a href=""></a>&nbsp;&nbsp; &nbsp;<a href=""></a>
Wednesday, February 13, 2019 - 13:55 , Location: Skiles 005 , Michael Loss , Georgia Tech , Organizer: Shahaf Nitzan
In this talk I present some&nbsp; variational&nbsp; problems of Aharanov-Bohm type, i.e., they include a&nbsp; magnetic flux that is entirely concentrated at a point. This is maybe the simplest example of a variational problems for systems, the wave function being necessarily complex. The functional is rotationally invariant and the issue to be discussed is whether the optimizer have this symmetry or whether it is broken.
Wednesday, February 6, 2019 - 13:55 , Location: Skiles 005 , Dario Alberto Mena , University of Costa Rica , Organizer: Galyna Livshyts
We prove sparse bounds for the spherical maximal operator of Magyar,Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint esti-mate. The new method of proof is inspired by ones by Bourgain and Ionescu, is veryefficient, and has not been used in the proof of sparse bounds before. The Hardy-Littlewood Circle method is used to decompose the multiplier into major and minor arccomponents. The efficiency arises as one only needs a single estimate on each elementof the decomposition.
Wednesday, January 30, 2019 - 13:55 , Location: Skiles 005 , Alex Iosevich , University of Rochester , , Organizer: Galyna Livshyts
We are going to discuss some recent results pertaining to the Falconer distance conjecture, including the joint paper with Guth, Ou and Wang establishing the $\frac{5}{4}$ threshold in the plane. We are also going to discuss the extent to which the sharpness of our method and similar results is tied to the distribution of lattice points on convex curves and surfaces.&nbsp;
Wednesday, January 23, 2019 - 13:55 , Location: Skiles 006 , Semyon Alesker , Tel Aviv University , , Organizer: Galyna Livshyts
Valuations are finitely additive measures on convex compact subsets of a finite dimensional vector space. The theory of valuations originates in convex geometry. Valuations continuous in the Hausdorff metric play a special role, and we will concentrate in the talk on this class of valuations.&nbsp; In recent years there was a considerable progress in the theory and its applications. We will describe some of the progress with particular focus on the multiplicative structure on valuations and its applications to kinematic formulas of integral geometry.