This talk will address the following question: When does there exist a curve of given degree d and genus g, passing through n general points p_1, p_2,..., p_n in P^r?

# Algebraic Geometry Seminar

The Algebraic Geometry Seminar features talks on all branches of algebraic geometry, as well as related research fields including, and not limited to: number theory, complex geometry, and differential geometry.

For more information about this seminar, contact Mihai Fulger or Zsolt Patakfalvi.

You may also click on the following link: http://web.math.princeton.edu/alggeom/public_html/index.html

**Please click on seminar title for complete abstract.**

##### Interpolation for normal bundles of general curves

MIT

##### Ample divisors on Hilbert schemes of points on surfaces

The Hilbert scheme of n points on a smooth projective surface X is a smooth projective variety due to a classical result of Fogarty. A natural question about these spaces is to determine their ample divisors.

Ohio State University

##### TBA - Daniel Litt

Columbia University

##### TBA - Roberto Svaldi

Cambridge University

##### TBA - Kevin Tucker

University of Illinois at Chicago

##### TBA - Ian Shipman

**Please note different day.**

University of Utah

##### TBA - Brooke Ullery

University of Utah

##### TBA - Boton Wang

University of Wisconsin - Madison

##### TBA - Zhiwei Yun

Stanford University

##### TBA - Mihnea Popa

Northwestern University