Tropical Curves and Brill-Noether Theory

Tropical Curves and Brill-Noether Theory

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Akash Sengupta , Princeton University
Fine Hall 314

In the past few years, tropical geometry has established itself as an important new field bridging algebraic geometry and combinatorics whose techniques have been used successfully to attack problems in both fields. I'll talk about the basics of tropical geometry, with an emphasis on tropical curves. If time permits, I'll show how tropical geometry can be applied to prove results in Brill-Noether thoery of line bundles on algebraic curves.