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Daniel Duarte, Autonomous University of Zacatecas

Nash blowups of toric surfaces in positive characteristic

Date: Time: 4:00 pm–4:50 pm
Avery Hall Room: 115 Avery Hall
Contact: Jack Jeffries, jack.jeffries@unl.edu
A fundamental problem in algebraic geometry is the resolution of singularities, which is a very active area of research nowadays, especially in the case of varieties over fields of positive characteristic. In the 1970’s, John Nash got interested in this problem and proposed a method to try and solve it. In this talk, we first introduce the problem of resolution of singularities by means of simple examples. We then show that the method proposed by Nash solves the singularities of a particular family of varieties that can be described by combinatorial objects. This is a joint work with Jack Jeffries and Luis Núñez Betancourt.

Additional Public Info:
Hosted by Jack Jeffries

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This event originated in Math Colloquia.