Seminars & Colloquia Calendar

Download as iCal file

Mathematical Physics Seminar

Over-determined Schwinger-Dyson equations for matrix models

Maxim Kontsevich - IHES

Location:  Zoom
Date & time: Wednesday, 08 June 2022 at 10:45AM - 11:45AM

Observables in the planar limit of multi-matrix models satisfy an infinite system of quadratic equations,  called loop equations (analogs of Schwinger-Dyson equations, meaning  that the integral of a total derivative is zero).  Naive counting gives more equations than variables, i.e. the system of loop equations is over-determined. Nevertheless, it has non-trivial solutions, depending on a finite or infinite number of parameters, depending on the model. I'll talk about the cohomological mechanism behind this phenomenon.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.