Speaker: Søren Galatius (Columbia University)Title: Hopf algebra spectral sequences related to $\textit{K}(\mathbb{Z}$) and the Grothendieck–Teichmüller groupAbstract: The general linear group of the integers acts on the symmetric space $GL_n(\mathbb{R})/O(n)$, and the orbit space $X_n$ can be regarded as a “moduli space of real tori”. The compactly supported cohomology of these spaces forms the $E_1$ page of a spectral sequence converging to the cohomology of $BK(\mathbb{Z})$, the onefold delooping of the algebraic $K$-theory space. I will sketch how to construct a Hopf algebra structure on this spectral sequence, and how it maps to another spectral sequence of Hopf algebras, a version of the Connes–Kreimer Hopf algebra. In recent joint work with Brown, Chan, and Payne (2405.11528), we use this map of Hopf algebras to deduce lower bounds for the compactly supported cohomology of $X_n$ and of $A_n$, the moduli space of principally polarized abelian varieties.

Jesse Schreger (Columbia)

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.

Do you think yoga is only for young, slender, super-flexible people? Think again!Yoga for Every Body with Catherine provides a gentle yoga experience in the Kripalu tradition. It offers a safe introduction for beginners of all ages, shapes, and sizes, as well as an opportunity for more experienced practitioners to share a gentle, mindful practice.Catherine hopes that this will give everyone an opportunity to turn down the “noise” of daily living and tune in to your own body, mind, and spirit.Registration is required on our wellness class website. If you do not already have an account on this website, you'll need to create one. This is fee-based class and open to the entire MIT community.

"Do you ever feel that life holds a deeper meaning beyond what you currently understand? The truth is profound—there are countless mysteries of existence, divinity, and the self that lie beyond our awareness. There is so much we don’t know, and even more that we don’t realize we don’t know."Join us on this exciting journey of Discover Your Self to explore the unknown territories of life and delve into the science of spirituality. This course, based on the wisdom of the Bhagavad Gita, will equip you with proven methods to achieve true inner joy and answer your deepest questions about life's higher principles. This Course explains Proven methods to attain the true inner joy of heart and gives answers to all the Inquiries about Higher Principles in life like the pathway for unlimited and everlasting happiness from the eyes of scriptures like Bhagavad Gita in a scientific perspective.Salient Features:Discover the Game of LifeDiscover Inner SelfDiscover The Ultimate GeniusDiscover Manual of LifeDiscover Lasting SolutionDiscover Sublime Joy Through SoundDiscover The Real Eternal LoveDiscover The Happy PlanetYou are invited to join us every Tuesday 6:00-7:00 pm. To your pleasure we have free delicious sattvik vegetarian dinner is available after every session.Event details:6:00 pm-6:10 pm: Mantra Meditation and kirtan6:10 pm-6:50 pm: : Session7:00pm : Dinner along with Q&A.Venue: MIT Room 56-180, 32 Vasaar Steeet, Cambridge MA Kindly RSVP here https://forms.gle/DEXUz6ig6dJZoU1k7Regards, MIT Vedic Vision Forum

Join us on Monday evenings for Argentine tango classes with outstanding instructors Fernanda Ghi, Guillermo Merlo and Mia Dalglish (read their bios on the link). Whether you are completely new to tango, or already have some experience, you will find a friendly environment in which to learn new things and improve your technique. You don't have to bring a partner, since the classes involve rotations with all participants.More info on website: https://sites.google.com/site/mittangoclub/products-services/2025-spring-series?authuser=0