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Description: | Speaker: Madhusudan Manjunath Venue: Ramanujan Hall Date & Time: Tuesday 6th March, 11:45am Title: Riemann-Roch, Alexander Duality and Free Resolutions and a bit more. Abstract: The Riemann-Roch theorem is fundamental to algebraic geometry. In 2006, Baker and Norine discovered an analogue of the Riemann-Roch theorem for graphs. In fact, this theorem is not a mere analogue but has concrete relations with its algebro-geometric counterpart. Since its conception this topic has been explored in different directions, two significant directions are i. Connections to topics in discrete geometry and commutative algebra ii. As a tool to studying linear series on algebraic curves. We will provide a glimpse of these developments. Topics in commutative algebra such as Alexander duality and minimal free resolutions will make an appearance. This talk is based on joint work with i. Omid Amini, ii. Bernd Sturmfels, ii. Frank-Olaf Schreyer and John Wilmes. I gave a talk on this topic during my visit here in August 2016, I hope to report on some progress since then. |

Location: | Ramanujan Hall, Department of Mathematics |

Date: | Tuesday, March 6, 2018 |

Time: | 11:45am IST |

Access: | Public |