Genus 1 fibered Calabi-Yau 3-folds with 5-sections - A GLSM perspective

Johanna Knapp (University of Melbourne)

02-Mar-2022, 08:00-10:00 (2 years ago)

Abstract: Elliptic and genus one fibered Calabi-Yau spaces play a prominent role in string theory and mathematics. In this talk we will discuss examples and properties of a class of Calabi-Yau threefolds with 5-sections. These Calabi-Yaus cannot be constructed by means of toric geometry. One way to obtain them is as vacuum manifolds of gauged linear sigma models (GLSMs) with non-abelian gauge groups. This approach makes it possible to find connections between different genus one fibrations with 5-sections that fit into the framework of homological projective duality. Furthermore we briefly discuss applications in topological string theory and M-/F-theory. This is joint work with Emanuel Scheidegger and Thorsten Schimannek.

other condensed matterstatistical mechanicsstrongly correlated electronsgeneral relativity and quantum cosmologyHEP - theorymathematical physicsalgebraic geometrydifferential geometrydynamical systemsgroup theorynumber theoryquantum algebrarepresentation theory

Audience: researchers in the discipline

Comments: Zoom link available


Number theory, Arithmetic and Algebraic Geometry, and Physics

Series comments: Zoom link for a seminar will be posted here a few days before each seminar.

Organizer: Abhiram Kidambi*
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