The Stanford Algebraic Geometry Seminar online (spring 2020)

The seminar will meet Fridays 11-12:30 pm (with a 15 minute break in the middle) when there is one talk, and 10:45-11:45am and 12-1pm when there is a double header.  Click on the title to see the abstract (when available).

Register in advance for the seminar:
https://stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv

Date and Time (Pacific)SpeakerTitle
April 3, 4 pmWill Sawin (Columbia)The Shafarevich conjecture for hypersurfaces in abelian varieties (abstract below)
April 17,  11-12:30Gavril Farkas (Humboldt)Green’s Conjecture via Koszul modules
April 24, 11-12:30Kirsten Wickelgren (Duke)

There are 160,839 + 160,650 3-planes in a 7-dimensional cubic hypersurface

 

May 1, 10:45-11:45Borys Kadets (MIT)

38406501359372282063949 & all that: Monodromy of Fano Problems 

May 1, 12-1Burt Totaro (UCLA)

The Hilbert scheme of infinite affine space 

May 8,  10:45-11:45Julie Desjardins (Toronto)

Density of rational points on a family of del Pezzo surface of degree 1

May 8, 12-1Bjorn Poonen (MIT)

Bertini irreducibility theorems via statistics 

May 15 10:45-11:45

Rohini Ramadas (Brown)

The locus of post-critically finite maps in the moduli space of self-maps of  P^n 

May 15, 12-1Rob Silversmith (Northeastern)

Studying subschemes of affine/projective space via matroids

May 22, 11-12:30Chenyang Xu (MIT)K-moduli of Fano varieties*
May 29, 10:45-11:45Yuchen Liu (Yale)Moduli spaces of quartic hyperelliptic K3 surfaces via K-stability
May 29, 12-1Maksym Fedorchuk (Boston College)Stability of fibrations over one-dimensional bases, and standard models of del Pezzo fibrations **
June 5, 10:45-11:45TBATBA
June 5, 12-1Bhargav Bhatt (Michigan)TBA
June 12, 10:45-11:45Margaret Bilu (NYU)TBA
June 12, 12-1Wei Ho (Michigan)TBA

*The discussion for Chenyang Xu’s talk is taking place not in zoom-chat, but at https://tinyurl.com/2020-05-22-cx (and will be deleted after 3-7 days). 

**The discussion for Maksym Fedorchuk’s talk is taking place not in zoom-chat, but at https://tinyurl.com/2020-05-29-mf (and will be deleted after 3-7 days). 

 

 


Abstracts

Will Sawin (Columbia)

April 3, 2020, 4pm pacific

The Shafarevich conjecture for hypersurfaces in abelian varieties.

Faltings proved the statement, previously conjectured by Shafarevich, that there are finitely many abelian varieties of dimension n, defined over the rational numbers (or another fixed number field), with good reduction outside a fixed finite set of primes, up to isomorphism. In joint work with Brian Lawrence, we prove an analogous finiteness statement for hypersurfaces in a fixed abelian variety with good reduction outside a finite set of primes. I will give a broad, intuitive introduction to some of the ideas in the proof, which combines tools from different areas in algebraic geometry, arithmetic geometry, and number theory, and builds heavily on recent work of Lawrence and Venkatesh.

 


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