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Group, Lie and Number Theory

Twisted orbit parametrizations and lifting laws
Monday, February 20, 2017
4:10-5:30 PM
4088 East Hall Map
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(s): Aaron Pollack (Stanford University)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics