In spring 2020, I am starting a virtual seminar on open conjectures in number theory and arithmetic geometry. The seminar will provide open access to world class mathematics, with a focus on progress on unsolved problems in NT&AG. The purpose of the seminar is to provide a viable way for researchers to learn about cutting-edge research in NT&AG without the expense and environmental impact of travel. Another aim of the seminar is to advance understanding on the most exciting open problems in this field.

Please spread the news!

More information about this seminar is on this webpage: https://sites.google.com/view/vantageseminar

If you would like to join the e-mail list for this seminar, please go to this google group and apply for membership: https://groups.google.com/forum/#!forum/vantageseminar

This seminar will be run through blue jeans technology and can support 100 connections. Please consider reserving a room with a projector or a video conferencing room if there are several people at your institution who are interested in watching. The talks will typically occur on the first and third Tuesdays at 1 pm ET = 12 CT = 11 MT = 10 am PT.

The first topic of the seminar is CLASS GROUPS OF NUMBER FIELDS. The first talks of the seminar will focus on this survey paper.

On a conjecture for ?-torsion in class groups of number fields: from the perspective of moments - https://arxiv.org/abs/1902.02008

Jan 21: Lillian Pierce. On some questions in number theory, from the perspective of moments

Feb 4: Melanie Matchett-Wood. Conjectures for number field counting

Feb18: Caroline Turnage-Butterbaugh. Moments of zeta and the vertical distribution of its zeros

March 3: David Zureick-Brown. Moduli spaces and arithmetic statistics

If you have any suggestions or advice about this seminar, please send me an email.

Best wishes, Rachel

VaNTAGe Seminar

Tue, Feb. 4 3pm (MATH 350)

Algebraic Geometry

Sebastian Bozlee (University of Colorado)

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Let C be a nodal curve, and let E be a union of semistable subcurves of C. We consider the problem of contracting the connected components of E to singularities in a way that preserves the genus of C and makes sense in families. In order to do this, we introduce the notion of mesa curve, a nodal curve with a logarithmic structure and a nice subcurve. Resulting singularities include the elliptic Gorenstein singularities.