Seminar
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Seminar in Algebraic Geometry and Number Theory

Seungki Kim, University of Cincinnati: The Siegel/Rogers integral formula and its extensions

Overview

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  • Date:Starts 27 March 2023, 15:15Ends 27 March 2023, 16:15
  • Location:
    Pascal, Chalmers tvärgata 3
  • Language:English

Abstract: Counting points of a random lattice -- a random element of SL(n,Z) \ SL(n,R) with respect to its natural probability measure -- has become a popular topic in recent years. The integral formulas of Siegel and Rogers, which translate an integral of counting functions over random lattices to an integral over a Euclidean space, are essential tools for such a task. In this talk, I will discuss several known approaches to proving formulas of this kind, and introduce some recent results.

Anders Södergren
  • Associate Professor, Algebra and Geometry, Mathematical Sciences
Seminar in Algebraic Geometry and Number Theory | Chalmers