January 31, 2017
3:00 pm
-
4:00 pm
Math Tower 154
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2017-01-31 16:00:00
2017-01-31 17:00:00
Algebraic Geometry Seminar - Georg Oberdieck
Title: Elliptic Calabi-Yau threefolds and Jacobi formsSpeaker: Georg Oberdieck (MIT)Abstract: Physics predicts that curve counting invariants of elliptically fibered Calabi-Yau threefolds are governed by Jacobi forms (a generalization of modular forms). I will explain joint work with Junliang Shen to prove part of the conjectured modularity by using auto-equivalences in the derived category and wall-crossing. In good cases the remaining part of the conjecture can be obtained via Gromov-Witten theory. We discuss this strategy in two explicit examples, the elliptic fibration over P2 and the product of a K3 surface and an elliptic curve.Seminar URL: https://research.math.osu.edu/agseminar/
Math Tower 154
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2017-01-31 15:00:00
2017-01-31 16:00:00
Algebraic Geometry Seminar - Georg Oberdieck
Title: Elliptic Calabi-Yau threefolds and Jacobi formsSpeaker: Georg Oberdieck (MIT)Abstract: Physics predicts that curve counting invariants of elliptically fibered Calabi-Yau threefolds are governed by Jacobi forms (a generalization of modular forms). I will explain joint work with Junliang Shen to prove part of the conjectured modularity by using auto-equivalences in the derived category and wall-crossing. In good cases the remaining part of the conjecture can be obtained via Gromov-Witten theory. We discuss this strategy in two explicit examples, the elliptic fibration over P2 and the product of a K3 surface and an elliptic curve.Seminar URL: https://research.math.osu.edu/agseminar/
Math Tower 154
America/New_York
public
Title: Elliptic Calabi-Yau threefolds and Jacobi forms
Speaker: Georg Oberdieck (MIT)
Abstract: Physics predicts that curve counting invariants of elliptically fibered Calabi-Yau threefolds are governed by Jacobi forms (a generalization of modular forms). I will explain joint work with Junliang Shen to prove part of the conjectured modularity by using auto-equivalences in the derived category and wall-crossing. In good cases the remaining part of the conjecture can be obtained via Gromov-Witten theory. We discuss this strategy in two explicit examples, the elliptic fibration over P2 and the product of a K3 surface and an elliptic curve.
Seminar URL: https://research.math.osu.edu/agseminar/
