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Dr. Adam Gyenge, Renyi Institute Budapest – Blow-ups and the quantum spectrum of surfaces

April 14, 2023 @ 4:00 pm - 5:00 pm

Mode: In-person

Title: Blow-ups and the quantum spectrum of surfaces

Abstract: The cup product of ordinary cohomology describes how submanifolds of a manifold intersect each other. Gromov-Witten invariants give rise to quantum product and quantum cohomology, which describe how subspaces intersect in a ”fuzzy”, ”quantum” way. Dubrovin observed that quantum cohomology can be used to define a flat connection on a certain vector bundle called the quantum connection. We verify a conjecture of Kontsevich on the behaviour of the spectrum of the quantum connection under blow-ups for smooth projective surfaces. Joint work with Szilard Szabo.


April 14, 2023
4:00 pm - 5:00 pm
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