# Toric Geometry in Sage and String/F-Theory Applications

Volker Braun

09.12.2010 at 16:15

Toric geometry has long been an indispensable tool to construct explicit string
theory compactifications. In my talk I will introduce the toric varieties package
of the Sage computer algebra system, which strives to be a fast yet user-
friendly implementation of all toric algorithms. As an application, I will describe
some global embeddings of branes at singularities. Another application is the
construction of base threefolds for F-theory elliptic fibrations. For example,
there are relatively simple global models whose GUT divisor is not simply
connected, allowing one to use discrete Wilson line breaking. Finally, I will
discuss the "F-theory landscape" in this context.

Arnold Sommerfeld Center

Theresienstrasse 37

Room 348/349