Algebraic geometry: moduli spaces, birational geometry and derived aspects. Abstracts from the workshop held July 10–16, 2022. (English) Zbl 1520.00027
Summary: The workshop covered recent developments in algebraic geometry in a broad sense with a special emphasis on various moduli spaces. Problems related to mirror symmetry phenomena were discussed in a number of talks as well as singularity theory in the context of the MMP in positive characteristic. Derived categories and algebraic cycles, as well as rationality questions figured prominently in the talks and the discussions.
MSC:
| 00B05 | Collections of abstracts of lectures |
| 00B25 | Proceedings of conferences of miscellaneous specific interest |
| 14-06 | Proceedings, conferences, collections, etc. pertaining to algebraic geometry |
| 14D20 | Algebraic moduli problems, moduli of vector bundles |
| 14E30 | Minimal model program (Mori theory, extremal rays) |
| 14F08 | Derived categories of sheaves, dg categories, and related constructions in algebraic geometry |
| 14J33 | Mirror symmetry (algebro-geometric aspects) |
| 14D22 | Fine and coarse moduli spaces |
| 14D23 | Stacks and moduli problems |
| 14J28 | \(K3\) surfaces and Enriques surfaces |
| 14J32 | Calabi-Yau manifolds (algebro-geometric aspects) |
| 14N35 | Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) |
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