Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Some variants of the Rogers integral formula
Speaker: Seungki Kim, University of Cincinnati
Date: September 24, 2021
Time: 17:00:00 Hours
Venue: AG-77
Abstract: The Rogers integral formula from the 1950's, which provides statistical information on points of the random lattice, have recently become a popular device in number theory and dynamics. With the revived interest in the formula also came its numerous variants and extensions. In this talk, I would like to discuss a few such formulas by myself, one concerning the rational points of the Grassmannians, and another generalizing the Rogers formula over the adeles of number fields. One immediate application is the non-Poissonian behavior of certain families of random sets of points, unlike in the much-studied case of the random lattice points in $R^n$.
Title of Talk: Some variants of the Rogers integral formula
Speaker: Seungki Kim, University of Cincinnati
Date: September 24, 2021
Time: 17:00:00 Hours
Venue: AG-77
Abstract: The Rogers integral formula from the 1950's, which provides statistical information on points of the random lattice, have recently become a popular device in number theory and dynamics. With the revived interest in the formula also came its numerous variants and extensions. In this talk, I would like to discuss a few such formulas by myself, one concerning the rational points of the Grassmannians, and another generalizing the Rogers formula over the adeles of number fields. One immediate application is the non-Poissonian behavior of certain families of random sets of points, unlike in the much-studied case of the random lattice points in $R^n$.