# Monodromy and derived equivalences

### APA

Okounkov, A. (2022). Monodromy and derived equivalences. Perimeter Institute. https://pirsa.org/22060008

### MLA

Okounkov, Andrei. Monodromy and derived equivalences. Perimeter Institute, Jun. 06, 2022, https://pirsa.org/22060008

### BibTex

@misc{ pirsa_PIRSA:22060008, doi = {10.48660/22060008}, url = {https://pirsa.org/22060008}, author = {Okounkov, Andrei}, keywords = {Mathematical physics}, language = {en}, title = {Monodromy and derived equivalences}, publisher = {Perimeter Institute}, year = {2022}, month = {jun}, note = {PIRSA:22060008 see, \url{https://pirsa.org}} }

Columbia University

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Abstract

This will be an introductory discussion of our joint work with Roman Bezrukavnikov. Given a symplectic resolution X, one may study its Gromov-Witten theory and the monodromy group of the curve-counting functions in the K\"ahler variables. There is also a large group of derived autoequivalences of X coming from its quantization in large prime characteristic, as studied by Bezrukavnikov and collaborators. Conjecturally, the action of the latter group on K(X) is identified with the former group, and we prove this for many $X$.