Classical enumerative geometry is concerned with counting geometric objects satisfying specific conditions, such as rational curves of a given degree passing through prescribed points. In recent decades, moduli theory has seen major advances due to new methods for computing invariants using derived algebraic geometry, matrix factorization categories and symplectic structures. Recognizing these developments, this program will bring together experts and early-career researchers for lectures and discussions on modern approaches to enumerative geometry, including Gromov–Witten and Donaldson–Thomas theories, shifted symplectic structures, and categorification.
Eligibility Criteria: The program is primarily intended for researchers working in algebraic geometry, symplectic geometry, enumerative geometry, and related areas. Graduate students and postdoctoral researchers working in these topics are encouraged to apply. Familiarity with graduate-level algebraic geometry, moduli theory, and algebraic stacks will be beneficial for participants.
Accommodation will be provided for outstation participants at our on-campus guest house.
ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.
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