Today's talk in Combinatorics Seminar may be of interest to topology people.<br><div class="gmail_quote"><br> COMBINATORICS SEMINAR<br>
BINGHAMTON UNIVERSITY (SUNY)<br>
<br>
Tuesday, September 20<br>
<br>
Speaker: Emanuele Delucchi (Bremen)<br>
Title: Complex Toric Arrangements: Combinatorial Models and the Fundamental Group<br>
Time: 1:15 - 2:15<br>
Room: LN-2205<br>
<br>
The study of arrangements of subtori in the complex torus T = Cn is a recently thriving topic. It has some structural similarities with the theory of hyperplane arrangements, yet it bears its own peculiarities.<br>
<br>
The Salvetti complex is a combinatorial model of the complement of a complexified real arrangement of hyperplanes. We take Salvetti's work as a stepping stone to develop a combinatorial model for the complement of a complex toric subspace arrangement, M := T\A, where A is the union of the subtori in the arrangement. More precisely, we prove that M is homotopy equivalent to the nerve of a combinatorially defined acyclic category. Then, we find a presentation of the fundamental group of M.<br>
<br>
This is joint work with Giacomo D'Antonio of the University of Bremen.<br>
<br>
<br>
The seminar Web site: <a href="http://www.math.binghamton.edu/dept/ComboSem/index.html" target="_blank">http://www.math.binghamton.<u></u>edu/dept/ComboSem/index.html</a><br>
<br>
</div><br>