NT seminar Tomorrow: Andrew Obus (Baruch College, CUNY)

[Bianca Viray]

Hello everyone,

Tomorrow we will have Andrew Obus from Baruch College speaking on "Regular models of superelliptic curves via Mac Lane valuations" (abstract below). As usual, we will go to lunch with the speaker after the talk.

 

Abstract: Let X -> P^1 be a Z/n-branched cover over a complete discretely valued field K, where n does not divide the residue characteristic of K.  We explicitly construct the minimal regular normal crossings model of X over the valuation ring of K.  By “explicitly”, we mean that we construct a normal model of P^1 whose normalization in K(X) is the desired regular model.  The normal model of P^1 is fully encoded as a basket of finitely many discrete valuations on the rational function field K(P^1), each of which is given using Mac Lane’s 1936 notation involving finitely many polynomials and rational numbers (no familiarity with Mac Lane’s notation will be assumed)!.  This is joint work with Padmavathi Srinivasan.

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Bianca Viray (she/her)

Craig McKibben and Sarah Merner Professor of Mathematics

University of Washington

Seattle, WA 98195

https://sites.math.washington.edu/~bviray/