**UM Math Graduate Students Seminar**

Alex Lazar

* University of Miami *

**will present**

**The Tropical Picard Group**

Friday, September 19, 2014, 4:30pm

Ungar Building Room 402

**Abstract: **

A finite graph may be viewed as a combinatorial analogue of a one-dimensional algebraic variety. This analogy can be extended to higher-dimensional simplicial complexes. We give one example of this higher-dimensional analogy by defining a combinatorial invariant called the tropical Picard group of a simplicial complex. We then prove some basic results about the tropical Picard group for a particular class of simplicial complexes.

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