We would like to invite you to the Mathematical-Physical Colloquium of the Faculty of Mathematics and Physics at Leibniz Universität Hannover:

The colloquium takes place **online** (in the StudIP course "Mathematisch-Physikalisches Kolloquium" in the BigBlueButton meeting "Kolloquium"). *Please log into StudIP, register for this course (maybe use this link again after login) and use the tab "Meetings" to enter the BigBlueButton meeting "Kolloquium".*

On Tuesday, **18.5.2021** at **17:15**,**Dr. Andreas Krug**

speaks on the subject**Tautological bundles on symmetric products of curves and embeddings of moduli spaces ** **Abstract:** To every smooth complex curve C, one can associate its n-fold symmetric product, which is an n-dimensional complex manifold. In addition, given a vector bundle E over C, there is an associated bundle E^{[n]} over the symmetric product, called tautological bundle. The tautological bundle captures many important properties of the original bundle. In this talk, we provide a numerical criterion for stability of these tautological bundles. Furthermore, in the cases where the numerical criterion is met, we see that sending E to E^{[n]} gives an embedding of the moduli space of stable bundles on C into a moduli space of stable bundles on the symmetric product.