08:45 AM - 09:00 AM
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Welcome
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- Location
- SLMath: Eisenbud Auditorium
- Video
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- Abstract
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- Supplements
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09:00 AM - 10:30 AM
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An introduction to symplectic Gromov-Witten theory
Dusa McDuff (Barnard College)
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- Location
- SLMath: Eisenbud Auditorium
- Video
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- Abstract
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- Supplements
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10:30 AM - 11:00 AM
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Break
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- Location
- SLMath: Atrium
- Video
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- Abstract
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- Supplements
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11:00 AM - 12:00 PM
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Reduced Gromov--Witten invariants from cuspidal curves
Cristina Manolache (Imperial College, London)
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- Location
- SLMath: Eisenbud Auditorium
- Video
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- Abstract
In a series of papers Zinger and his collaborators introduced reduced Gromov--Witten invariants. These are numbers which contain fewer degenerate contributions than Gromov--Witten invariants. Together with Luca Battistella and Francesca Carocci we use moduli spaces of stable maps from curves with cusps to define new invariants. We show that for the quintic three-fold these invariants are equal to Zinger's reduced Gromov--Witten invariants.
- Supplements
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12:00 PM - 02:00 PM
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Lunch
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- Location
- SLMath: Atrium
- Video
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- Abstract
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- Supplements
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02:00 PM - 03:00 PM
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Enumeration of singular subvarieties with tangency conditions
Yu-Jong Tzeng (University of Minnesota Twin Cities)
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- Location
- SLMath: Eisenbud Auditorium
- Video
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- Abstract
How many nodal degree d plane curves are tangent to a given line? The celebrated Caporaso-Harris recursion formula gives a complete answer for any number of nodes, degrees, and all possible tangency conditions. In this talk, I will report my work on the generalization of the counting problem to singular subvarieties with given tangency condition to a fixed smooth divisor on any smooth varieties. By establishing a beautiful correspondence with the algebraic cobordism group, we show the answer is given by universal polynomials.
- Supplements
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03:00 PM - 03:30 PM
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Tea
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- Location
- SLMath: Atrium
- Video
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- Abstract
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- Supplements
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03:30 PM - 04:30 PM
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Double ramification cycles and tautological relations
Emily Clader (San Francisco State University)
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- Location
- SLMath: Eisenbud Auditorium
- Video
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- Abstract
Tautological relations are certain equations in the Chow ring of the moduli space of curves. I will discuss a family of such relations, first conjectured by A. Pixton, that arises by studying moduli spaces of ramified covers of the projective line. These relations can be used to recover and strengthen a number of well-known facts about the moduli space of curves, such as Graber-Vakil’s celebrated “Theorem Star.” This is joint work with F. Janda, S. Grushevsky, and D. Zakharov.
- Supplements
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04:30 PM - 05:30 PM
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Panel Discussion
Emily Clader (San Francisco State University), Eleny-Nicoleta Ionel (Stanford University), Dusa McDuff (Barnard College), Katrin Wehrheim (University of California, Berkeley), Lauren Williams (Harvard University)
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- Location
- SLMath: Commons Room
- Video
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- Abstract
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- Supplements
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06:30 PM - 08:30 PM
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Dinner
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- Location
- Taste of the Himalayas
- Video
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- Abstract
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- Supplements
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