Limited Memory and Stochastic Choice | Drew Fudenberg

Join MIT Science Policy Initiative’s (SPI) spring ‘25 kick-off social (w/ dinner!) to learn about our various initiatives – including multiple trips to DC – and meet others with similar interests. Please share the invite with anyone who you think might be interested. Everyone is welcome, even if this is your first event.

Speaker: Xinyu Fang (Harvard)Title: A tour of the Betti, etale, de Rham, and crystalline cohomologyAbstract:This talk is a crash course on the properties of various cohomology theories that will be used in the Lawrence-Venkatesh proof. These include the Betti cohomology, etale cohomology, de Rham cohomology and crystalline cohomology. We review relevant structures on each of these cohomology groups of a smooth proper variety, state some comparison theorems, and explain how they come together to form the "big diagram" in the Lawrence-Venkatesh argument.Reference:$\bullet$ Poonen, $p$-adic approaches to rational and integral points on curves, Sections 5 and 6.For more details:$\bullet$ Deligne, Hodge cycles on abelian varieties, Section 1.$\bullet$ Lawrence and Venkatesh, Diophantine problems and $p$-adic period mappings, Section 3 (to see how cohomology theories are going to be used).$\bullet$ Brinon and Conrad, CMI summer school notes on $p$-adic Hodge theory, Section 9.1 (for details on the ring $B_{cris}$ and the functor $D_{cris}$).$\bullet$ Nicole, Cris is for Crystalline (notes for a seminar talk on crystalline cohomology) (for the definition and motivations for crystalline cohomology).$\bullet$ Voisin, Hodge theory and complex algebraic geometry I, Chapter II (for de Rham cohomology and the Hodge decomposition).

The MIT wrestling club holds practices in the du Pont Wrestling Room on weeknights 5:30-7pm. All levels of experience welcome! Whether you're looking to learn how to grapple or just want to get in a good workout, wrestling practice is a good time to learn technique, get in some live goes, and have fun with a great group of people.Current schedule is: structured practice MTRF, open mats W, and technique sessions 9-10:30am on Saturday. For more information, contact wrestling-officers@mit.edu.

Join us for a night of humor, media literacy, and creative deception at our February After Dark. In a twist on "Two Truths and a Lie," three comedians challenge your gullible gauge to spot the one true news story.Take inspiration from historical spirit photography to create your own deceptive imagery. Learn how Victorian photographers faked ghostly images, then try your hand at crafting your own illusions.MIT's Rand Lab will showcase interactive tools to help you spot fake news in real-time.Drinks from Marzae Wine and Philippine snacks from Lola's Pinoy Pastry will be available for purchase.Come for fun, stay for creativity, and leave with a sharper eye for truth in today's media.This event is co-hosted with MIT's Knight Science Journalism Program.