A Further Look at the Oscillator Semigroup and the eta Correspondence for Dual Pairs Over Finite Fields

Attend a mathematical lecture exploring the oscillator semigroup and eta correspondence for dual pairs over finite fields. Delve into advanced concepts in representation theory and harmonic analysis as presented by a Yale University mathematician at this special joint seminar between the Institute for Advanced Study and Princeton University. Examine the intricate relationships between oscillator representations and their applications to dual pairs in the finite field setting, building upon foundational work in the Howe correspondence. Gain insights into the mathematical structures that connect representation theory, number theory, and algebraic geometry through this specialized 51-minute presentation delivered at the Institute for Advanced Study's Simonyi Hall.