Quantum cohomology and related topics.
The notion of the quantum cohomology, which is a certain non-linear structure on the cohomology
of a projective algberaic variety, with complex coefficients, has been an actively developing area of
mathematics for several decades. While the original interest in the subject comes from physics
it is of substantial importance as a mathematical topic with connections to many other areas, including
intersection and deformation theory from algebraic geometry, enumerative geometry, operad theory,
mirror symmetry and Frobenius manifolds. In this course we plan to look at some of these topics,
following Manin's book on Quantum Cohomology.
of a projective algberaic variety, with complex coefficients, has been an actively developing area of
mathematics for several decades. While the original interest in the subject comes from physics
it is of substantial importance as a mathematical topic with connections to many other areas, including
intersection and deformation theory from algebraic geometry, enumerative geometry, operad theory,
mirror symmetry and Frobenius manifolds. In this course we plan to look at some of these topics,
following Manin's book on Quantum Cohomology.
Lecturer
Date
15th September ~ 12th December, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday,Friday | 15:20 - 16:55 | A3-2-201 | ZOOM 07 | 559 700 6085 | BIMSA |
Reference
Manin. Frobenius Manifolds, Quantum Cohomology, Moduli Spaces
Video Public
Yes
Notes Public
Yes
Lecturer Intro
I have MSc degree in Applied Math / Computer Science from St. Petersburg IFMO and PhD in pure mathematics from Yale University. From 2014 to 2022 I held postdoctoral and visiting researcher positions in Japan, UK, Germany and France. I've joined BIMSA in 2023.
My current research interests include geometric representation theory, super groups and non-commutative algebraic geometry.