PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yakov Pesin.

Title:Quadratic forms, patching, and local-global principles
Seminar:Department of Mathematics Colloquium
Speaker:David Harbater, University of Pennsylvania
Abstract:
A classical question is whether a given quadratic form has a non-trivial solution over a given field, such as the rational numbers. This can be approached using local-global principles; the terminology arises from an analogous geometric context, in which local information is used to deduce global information. After reviewing classical theorems, this talk will discuss recent results about quadratic forms and local-global principles that have been obtained using patching, an algebraic concept that is motivated by geometry and analysis. (This is joint work with Julia Hartmann and Daniel Krashen.)

Room Reservation Information

Room Number:MB114
Date:04 / 05 / 2012
Time:04:00pm - 05:00pm