The Distinguished Fellowships team and MIT alumni will meet to share what fellowships and scholarships opportunities are available to students considering next steps after their time at MIT.This CAPD event is open to MIT juniors, seniors, graduate students, and alumni.

Optimal Policy with Social Image Concerns: Experimental Evidence from Deworming | Anne Karing

Ten minutes for your mind@2:50 every day at 2:50 pm in multiple time zones:Europa@2:50, EET, Athens, Helsinki (UTC+2) (7:50 am EST) https://us02web.zoom.us/j/88298032734Atlantica@2:50, EST, New York, Toronto (UTC-4) https://us02web.zoom.us/j/85349851047Pacifica@2:50, PST, Los Angeles, Vancouver (UTC=7) (5:50 pm EST) https://us02web.zoom.us/j/85743543699Almost everything works better again if you unplug it for a bit, including your mind. Stop by and unplug. Get the benefits of mindfulness without the fuss.@2:50 meets at the same time every single day for ten minutes of quiet together.No pre-requisite, no registration needed.Visit the website to view all @2:50 time zones each day.at250.org or at250.mit.edu

Speaker: Patrick Bieker (MIT)Title: Non-normality of Schubert varieties in affine GrassmanniansAbstract: Schubert varieties in finite dimensional flag varieties are normal and satisfy many nice geometric properties regardless of the characteristic of the ground field. Similarly, Faltings, Pappas-Rapoport and Lourenço in full generality proved the normality of Schubert varieties in affine flag varieties whenever the characteristic of the ground field is either zero or big enough. Recently, Haines-Lourenco-Richarz showed that such normality results fail in general in small positive characteristic. In my talk, I will discuss the classification of (non-)normal Schubert varieties in affine Grassmannians. This is based on joint work with Timo Richarz.

Speaker: Tianyi Yu (UQAM)Title: Normal Crystals for symmetric Grothendieck PolynomialsAbstract: Schur polynomials form a fundamental basis for symmetric polynomials. Motivated by geometry and representation theory, researchers have expanded various polynomials into the Schur basis positively, including (i) skew Schur polynomials, (ii) products of Schur polynomials, and (iii) Stanley symmetric polynomials. Normal crystals provide an elegant framework that effectively demonstrates these Schur expansions. Symmetric Grothendieck polynomials are non-homogeneous analogues of Schur polynomials, arising from the K-theory of flag varieties. Analogous expansions into symmetric Grothendieck polynomials have garnered significant attention over the past decades: Buch established the K-theoretic analogues of (i) and (ii), while Buch, Kresch, Shimozono, Tamvakis, and Yong resolved (iii). In this talk, we present an analogue of normal crystal theory, introducing a powerful new tool for establishing symmetric Grothendieck positivity. This framework not only recovers the three K-theoretic expansions mentioned above but also sheds light on related problems, including a conjecture of Ikeda and Naruse.This work is based on ongoing joint work with Eric Marberg and Kam Hung Tong.