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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