Geometry Seminar

Date: April 12, 2019

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: David Ben-Zvi, UT Austin

Title: Integrating quantum hamiltonians

Abstract: Harish Chandra showed that symmetric spaces carry large commutative algebras of invariant differential operators, generalizing the Laplacian. The symbols of these differential operators provide the commuting Hamiltonians responsible for many classical integrable systems. I'll describe joint work with Sam Gunningham (arXiv/1712.01963) describing a universal ``integration" for these classical and quantum Hamiltonian systems, through a categorical analog of the Harish-Chandra isomorphism, constructed via the geometric Langlands correspondence.