Fall 2022 @ Amherst College - September 30, 2022
The BATMOBILE is a vehicle for bringing together the algebraic and tropical geometry communities of Brown and surrounding institutions for a biannual day of talks.
Sam Payne (University of Texas at Austin) |
Cohomology of moduli spaces of curves
The Langlands program makes striking predictions about the Hodge structures and Galois representations that can appear in the cohomology of moduli spaces of curves, via the conjectured correspondence with automorphic cuspidal representations of conductor 1 that are now classified in weights up to 22, by Chenevier and Lannes. In this talk, I will outline the main ideas underlying these predictions and present joint work from two recent projects, one joint with Jonas Bergström and Carel Faber, and the other joint with Sam Canning and Hannah Larson, that confirm these predictions in weights up to 12, and also provide a surprisingly precise description of the eleventh cohomology group of the Deligne-Mumford moduli space of stable curves.
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The morning talk will be in the Pruyne Lecture Hall, located in Room 115 of Fayerweather Hall. The afternoon talk will be in Room 206 of the Seeley Mudd Building (the Amherst College Mathematics Department).
Parking is available in nearby Alumni Lot, Dickinsin Lot, East Lot, and South Lot. For a guest visitor parking pass for the Alumni Lot, email Nathan Pflueger with your car make and model, license plate number and state, and a phone number.
Make it a tropical weekend! Attend the Special Session on Combinatorial Algebraic Geometry and Melody Chan's invited address Moduli spaces of graphs at the AMS Fall Eastern Sectional Meeting at UMass Amherst, October 1-2, 2022
| Time | Event | Location |
|---|---|---|
| 10:30 - 11:00 | Coffee and pastries | Pruyne Lecture Hall |
| 11:00 - 12:00 |
Padma Srinivasan (ICERM)
Towards a unified theory of canonical heights on abelian varieties |
Pruyne Lecture Hall |
| 12:00 - 3:30 | Lunch/Walk | Book and Plow Farm |
| 3:30 - 4:30 |
Sam Payne
(UT Austin)
Cohomology of moduli spaces of curves |
Seeley Mudd 206 |
Organizers:
Dan Abramovich (Brown),
Asher Auel (Dartmouth),
Madeline Brandt (Brown),
Juliette Bruce (Brown),
Melody Chan (Brown),
David Cox (Amherst),
Chris Eur (Harvard),
Sarah Frei (Dartmouth),
Eric Larson (Brown),
Nathan Pflueger (Amherst),
and
Isabel Vogt (Brown).
Previous BATMOBILE/BATMOBYLE models:
Spring 2022, Fall 2020, Fall 2019, Spring 2019, Fall 2018, Spring 2018, Fall 2017, Spring 2017, Fall 2016, Spring 2016, Fall 2015, Spring 2015, and Fall 2014.