+91-674-249-4082

Submitted by parui on 7 February, 2019 - 12:17

Date/Time:

Monday, February 11, 2019 - 11:30 to 12:30

Venue:

Seminar Hall

Speaker:

Dr. Krishanu Dan

Affiliation:

CMI, Chennai

Title:

Secant Bundles on Symmetric Power of Curves.

Abstract: Let $C$ be a smooth, projective, irreducible curve over the

field of complex numbers, and $C^n$ denotes the $n$-fold Cartesian

product of $C$. The symmetric group of $n$ elements acts on $C^n$ and

let $S^n(C)$ be the quotient. This is a smooth, irreducible, projective

variety of dimension $n$, called the $n$-th symmetric power of $C$.

Given a vector bundle $E$ of rank $r$ on $C$, one can naturally

associate a rank $nr$ vector bundle on $S^n(C)$, called the $n$-th

secant bundle of $E$. In this talk, we will discuss stability conditions

of secant bundles on $S^n(C)$.

**School of Mathematical Sciences**

NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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