### Limiting distributions of Betti numbers

- Series
- Algebra Seminar
- Time
- Monday, April 11, 2011 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Fernando Rodriguez-Villegas – University of Texas Austin

We will discuss several instances of sequences of complex manifolds
X_n whose Betti numbers b_i(X_n) converge, when properly scaled,
to a
limiting distribution. The varieties considered have Betti
numbers
which are described in a combinatorial way making their study
possible. Interesting examples include varieties X for which
b_i(X)
is the i-th coefficient of the reliability polynomial of an
associated graph.