Number Theory Seminar
Tuesday, January 10, 2017, 12:00pm, 119 Physics
Aaron Pollack (Stanford University)
Arithmetic invariant theory
Abstract:
Arithmetic invariant theory is, roughly, the study of the orbits of groups like GL_n(Z) on lattices inside the finite dimensional representations of GL_n(R). While simply stated, these orbit problems turn out to be delicate and interesting. I will give an introduction to this field. In particular, I will highlight "Gauss composition" on binary quadratic forms, and some of the seminal contributions of Bhargava on "Higher composition laws". Time permitting, I may also discuss some of my recent work on twisted versions of these higher composition laws of Bhargava.

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