Seminar Event Detail

Group, Lie and Number Theory

Date:  Monday, February 20, 2017
Location:  4088 East Hall (4:10 PM to 5:30 PM)

Title:  Twisted orbit parametrizations and lifting laws

Abstract:   In seminal work, Bhargava found many generalizations of Gauss's composition law on binary quadratic forms. These generalizations take the form of parametrizing the orbits of the integer points of a reductive group G on a lattice in a prehomogeneous vector space V for G. The orbits are parametrized by interesting arithmetic data. I will explain how one can obtain twisted versions of some of these results of Bhargava. The key idea involves "lifting" elements in the open orbit for the action of G on V to elements in the minimal nonzero orbit of another prehomogeneous vector space (G',V').


Speaker:  Aaron Pollack
Institution:  Stanford University

Event Organizer:   Wei Ho   


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