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Description: | Title: Gotzmann's regularity and persistence theorem Abstract: Gotzmann's regularity theorem establishes a bound on Castelnuovo-Mumford regularity using a binomial representation (the Macaulay representation) of the Hilbert polynomial of a standard graded algebra. Gotzmann's persistence theorem shows that once the Hilbert function of a homogeneous ideal achieves minimal growth then it grows minimally for ever. We start with a proof of Eisenbud-Goto's theorem to establish regularity in terms of graded Betti numbers. Then we discuss Gotzmann's theorems in the language of commutative algebra. |

Location: | Ramanujan Hall |

Date: | Tuesday, October 24, 2017 |

Time: | 9:30am-10:25am IST |

Duration: | 55 minutes |

Access: | Public |