Speaker: Boris Pioline (LPTHE)
Time: 2025-07-01 16:00
Location: R1610, SIMIS
Zoom Meeting ID: 836 9413 6781 (Passcode: 110925)
Abstract:
Once put into suitable generating series, various enumerative invariants on Calabi-Yau threefolds are expected to possess modular properties, allowing to determine them uniquely from a few data points and giving powerful control on their asymptotic growth. This includes Gromov-Witten invariants in presence of a genus one fibration, Noether-Lefschetz invariants in presence of a K3 fibration, as well as Donalson-Thomas invariants supported on divisors (without requiring any particular fibration). While modularity has a clear mathematical origin in the first two cases, it is more mysterious in the last case, corresponding physically to BPS indices counting D4-D2-D0 black holes. I will review recent progress in testing the modularity (or more generally mock modularity) of D4-D2-D0 indices in one-parameter Calabi-Yau threefolds such as the quintic threefold, and in leveraging these results to compute Gopakumar-Vafa invariants at higher genus than hitherto possible. Based on work in collaboration with Sergey Alexandrov, Soheyla Feyzbakhsh, Albrecht Klemm and Thorsten Schimannek.
Speaker Bio:
Prof. Boris Pioline is a CNRS Research Director at the Laboratoire de Physique Théorique et Hautes Énergies (LPTHE), a joint unit of Sorbonne Université and CNRS in Paris, France. His research focuses on theoretical high-energy physics, with expertise in supersymmetry, string theory, quantum gravity and black hole thermodynamics. He has made significant contributions to understanding non-perturbative effects in string theory, D-brane dynamics, and the microscopic origins of black hole entropy.
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