Gromov-Witten Invariants and Cohomological Field Theories

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Deniz Genlik
November 29, 2022
3:00PM - 4:00PM
Location
MW 154

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Add to Calendar 2022-11-29 15:00:00 2022-11-29 16:00:00 Gromov-Witten Invariants and Cohomological Field Theories Title:  Gromov-Witten Invariants and Cohomological Field Theories Speaker:  Deniz Genlik (Ohio State) Speaker's URL:  https://people.math.osu.edu/genlik.1/ Abstract:  Gromov-Witten invariants are (virtual) enumerative invariants that play important roles in algebraic geometry and mathematical physics. There is an important class in Gromov-Witten theory; namely, the virtual fundamental class that plays the desired role of the fundamental class. Kontsevich and Manin defined cohomological field theories (CohFTs) to capture the formal properties of the virtual fundamental class in Gromov-Witten theory. If a CohFT is semisimple, then it can be constructed from its topological part. This is known as Givental-Teleman classification of semisimple CohFTs. In this talk, starting from a basic enumerative question, we will describe Gromov-Witten invariants. Then, we will give definition of a CohFT and explain Givental-Teleman classification of semisimple CohFTs. This talk should be accessible to a general audience, and it will serve as a preparation to speaker's next talk. URL associated with Seminar:  https://research.math.osu.edu/agseminar/ MW 154 Department of Mathematics math@osu.edu America/New_York public
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Title:  Gromov-Witten Invariants and Cohomological Field Theories

Speaker:  Deniz Genlik (Ohio State)

Speaker's URL:  https://people.math.osu.edu/genlik.1/

Abstract:  Gromov-Witten invariants are (virtual) enumerative invariants that play important roles in algebraic geometry and mathematical physics. There is an important class in Gromov-Witten theory; namely, the virtual fundamental class that plays the desired role of the fundamental class. Kontsevich and Manin defined cohomological field theories (CohFTs) to capture the formal properties of the virtual fundamental class in Gromov-Witten theory. If a CohFT is semisimple, then it can be constructed from its topological part. This is known as Givental-Teleman classification of semisimple CohFTs. In this talk, starting from a basic enumerative question, we will describe Gromov-Witten invariants. Then, we will give definition of a CohFT and explain Givental-Teleman classification of semisimple CohFTs. This talk should be accessible to a general audience, and it will serve as a preparation to speaker's next talk.

URL associated with Seminar:  https://research.math.osu.edu/agseminar/

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