##### Department of Mathematics,

University of California San Diego

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### Advancement to Candidacy

## Shubham Sinha - Ph.D. student

#### UC San Diego

## Isotropic quot scheme

##### Abstract:

Isotropic Quot scheme is a projective scheme that compactifies the moduli space of maps (of a given degree) from a smooth projective algebraic curve to an Isotropic Grassmannian. Isotropic quot schemes are often not smooth, but we construct a virtual fundamental class which makes it 'virtually' smooth. We use this to understand intersection theory of this space and find a Vafa-Intriligator type formula for the intersection of certain cohomology classes.

Host: Dragos Oprea

### October 26, 2020

### 3:00 PM

### Meeting ID: 912 8538 6143 Password: 092659

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