The epsilon multiplicity of a module is a natural generalization of the Hilbert-Samuel multiplicity of an ideal. It can be expressed as the volume of a suitable Cartier divisor associated with the module.

# 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.**

##### Local volumes and equisingularity theory

Northeastern University

##### On Minkowski bases for Newton-Okounkov bodies

The Newton-Okounkov bodies of linear series on an n-dimensional projective variety is a compact convex body in real n-space which carries information about the linear series. However, in general it is hard to determine in practice.

Stony Brook University

##### TBA - Kiumars Kaveh

University of Pittsburgh

##### TBA - Gabriele di Cerbo

Columbia University

##### TBA - Alex Küronya

Goethe Universität Frankfurt am Main

##### Mori fibre spaces for 3-folds in positive characteristic

There has been much progress in recent years on the LMMP for 3-folds in characteristic p>5. In this talk I will discuss the proof of the base point free theorem and how it leads to termination of the LMMP with scaling and the existence of Mori fibre spaces.

University of Cambridge

##### TBA - Tyler Foster

University of Michigan

##### TBA - Xudong Zheng

University of Illinois at Chicago