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Description: | Title: Tropical geometry of curves Abstract: Perhaps surprisingly, the study of degenerate curves plays a crucial role in our understanding of a general smooth curve. One of the first successes of this idea was the theory of limit linear series developed by Griffiths and Harris which they used to prove the Brill-Noether theorem. The analogous theory for degenerate curves of non-compact type falls in the realm of tropical geometry where it takes the shape of metric graphs (or tropical curves) and divisors on them. This leads to a rich interplay between graph theory and algebraic geometry of curves. After explaining the central ideas we will discuss some applications to Brill-Noether theory and curves of large theta characteristic. |

Location: | Ramanujan Hall, Department of Mathematics |

Date: | Monday, October 16, 2017 |

Time: | 2:30pm IST |

Access: | Public |