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Notes from the 2015 AMS Summer Institute on Algebraic Geometry

Here are some jottings from the second and third weeks of the 2015 AMS Summer Institute on Algebraic Geometry in Salt Lake City, Utah. These notes are relatively haphazard, since official notes, videos, and everything else is or should eventually be available online.

Still, I'll make the usual disclaimers: what's written down is not necessarily an accurate transcription of what the speaker said, and mistakes are all mine. The second week in particular is rather distant from my own background.

Week Two

Monday
- Plenary talk: Tom Bridgeland, Stability and Wall-Crossing
- Nick Sheridan, Counting curves using the Fukaya category
- Roman Bezrukavnikov, Geometric Langlands and Bridgeland stabilities
Tuesday
- Plenary talk: Jacob Lurie, Cohomology Theories and Commutative Rings
- Plenary talk: Ngo Bau Chau, Singularities in formal arc spaces and harmonic analysis over non-archimedean fields
- Jim Bryan, Elliptically fibered Calabi-Yau threefolds, Jacobi-Forms, and the topological vertex
- Lucia Caporaso, Degenerations of line bundles on algebraic curves: new methods and results
- Sam Payne, Tropical methods in Brill-Noether theory
Wednesday
- Plenary talk: Tom Bridgeland, Stability and Wall-Crossing
- Plenary talk: Jacob Lurie, Representation Theory in Intermediate Characteristic
Thursday
- Zhiwei Yun, Intersection numbers of cycles on the moduli of Shtukas
- David Nadler, Singular Lagrangians
- Xinwen Zhu, The geometric Satake isomorphism for p-adic groups
Friday
- Plenary talk: Jacob Lurie, Roots of unity in intermediate characteristic
- Tom Nevins, D-modules on stacks from the GIT point of view
- Amid Amini, Limit linear series and distribution of Weierstrass points

Week Three

Monday
- Plenary talk: Peter Scholze, p-adic Hodge Theory
- Plenary talk: Helene Esnault, Some Fundamental Groups in Arithmetic Geometry
- Roger Heath-Brown, Rational Points on Intersections of Quadrics
Tuesday
- Kiran Kedlaya, (phi, Gamma)-modules on analytic, adic, and perfectoid spaces
- Melanie Matchett Wood, Heuristics for boundedness of ranks of elliptic curves
- Anthony Varilly-Alvarado, Kodaira dimension of certain orthogonal modular varieties
Thursday
- Johan de Jong, Local Picard groups
- Max Lieblich, Twisted sheaves, ten years later
- Bruno Klingler, An Andre-Oort conjecture for variations of Hodge structures

Tony Feng's Homepage

Notes from the 2015 AMS Summer Institute on Algebraic Geometry