A venue for invited speakers to lecture about their work over Zoom. This seminar is organized jointly by Ishai Dan-Cohen (Be’er Sheva) and Ari Shnidman (Jerusalem). The intended format includes 10 minutes for assembly, 60 minutes of lecture, followed by 10 to 20 minutes for questions and informal discussion. To be added to the seminar mailing list, please contact Ishai at ishaida@bgu.ac.il. Zoom coordinates will be sent to the mailing list a few minutes before each meeting.

The seminar meets on Wednesdays, 15:00-16:30, in

This Week


Minhyong Kim (Warwick)

Recent progress on the Diophantine geometry of curves

The study of rational or integral solutions to polynomial equations is among the oldest subjects in mathematics. After a brief description of the history, we will review some recent geometric approaches to describing sets of solutions when the number of variables is 2.

Please click on the link to the “abstract” to view the slides.


2020–21–A meetings

Upcoming Meetings

Date
Title
Speaker
Abstract
Oct 28 TBA Martin Olsson (UC Berkeley )
Nov 4 Quadratic Euler characteristics of hypersurfaces and hypersurface singularities Marc Levine (Essen)

This is a report on joint work with V. Srinivas and Simon Pepin Lehalleur. Recently, with Arpon Raksit, we have shown that for a smooth projective variety X over a field k, the quadratic Euler characteristic of X, an element of the Grothendieck-Witt ring of quadratic forms over k, can be computed via the cup product on Hodge cohomology followed by the canonical trace map. Following work of Carlson-Griffiths, this leads to an explicit formula for the quadratic Euler characteristic of a smooth projective hypersurface defined by a homogeneous polynomial F in terms of the Jacobian ring of F, as well as a similar formula for a smooth hypersurface in a weighted projective space. In some special cases, this leads to quadratic versions of classical conductor formulas with some mysterious and unexpected correction terms, even in characteristic zero.

Nov 11 TBA TBA
Nov 18 TBA Amnon Yekutieli (Be'er Sheva)
Nov 25 TBA Netan Dogra (Oxford)
Dec 2, 16:00–17:30 TBA Amnon Besser (Be'er Sheva)
Dec 9 TBA TBA
Dec 16 TBA Jakob Scholbach (Münster (Germany))
Dec 23 TBA Mihran Papikian (Pennsylvania State University)
Dec 30 TBA TBA
Jan 6 TBA TBA
Jan 13 TBA TBA

Past Meetings

Date
Title
Speaker
Abstract
Oct 21 Recent progress on the Diophantine geometry of curves Minhyong Kim (Warwick)

The study of rational or integral solutions to polynomial equations is among the oldest subjects in mathematics. After a brief description of the history, we will review some recent geometric approaches to describing sets of solutions when the number of variables is 2.

Please click on the link to the “abstract” to view the slides.

Seminar run by Dr. Ishai Dan-Cohen