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Khintchine-type theorems via \(L^2\) estimates for Siegel transform Kleinbock, Dmitry

Description

Recently there has been a surge of activity in quantifying the density of values of generic quadratic forms at integer points. I will present some new and quite general results in this direction obtained via the so-called Siegel-Rogers method, which has recently been utilized by Athreya and Margulis, and later by Kelmer and Yu. This work is joint with Mishel Skenderi.

Item Metadata

Title
Khintchine-type theorems via \(L^2\) estimates for Siegel transform
Creator
Kleinbock, Dmitry
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-12-13T09:01
Description
Recently there has been a surge of activity in quantifying the density of values of generic quadratic forms at integer points. I will present some new and quite general results in this direction obtained via the so-called Siegel-Rogers method, which has recently been utilized by Athreya and Margulis, and later by Kelmer and Yu. This work is joint with Mishel Skenderi.
Extent
58.0 minutes
Subject
Mathematics; Group theory and generalizations; Geometry; Algebraic structures
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Brandeis University
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2020-06-11
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0391866
URI
http://hdl.handle.net/2429/74679
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International