SMS scnews item created by Hannah Bryant at Mon 9 Aug 2021 1157
Type: Seminar
Distribution: World
Expiry: 19 Aug 2021
Calendar1: 19 Aug 2021 1000-1100
CalLoc1: Online via Zoom
Auth: hannahb@10.48.16.75 (hbry8683) in SMS-SAML

# SMRI Algebra and Geometry Online: Williams -- Schubert polynomials, the inhomogeneous TASEP, and evil-avoiding permutations

SMRI Algebra and Geometry Online
’Schubert polynomials, the inhomogeneous TASEP, and evil-avoiding permutations’
Lauren K. Williams (Harvard University)

Thursday 19th August
10:00am - 11:00am (AEST)
Register:
https://uni-sydney.zoom.us/meeting/register/tZYkcemspz0uGtA8_BxxUMjb_d1q0dX34nRo

Abstract: The totally asymmetric simple exclusion process (TASEP) was introduced
around 1970 as a model for translation in protein synthesis and traffic flow. It has
interesting physical properties (e.g. boundary-induced phase transitions) and also
beautiful mathematical properties. The inhomogeneous TASEP is a Markov chain of
weighted particles hopping on a ring, in which the probability that two particles
interchange depends on the weight of those particles. If each particle has a distinct
weight, then we can think of this as a Markov chain on permutations. In many cases,
the steady state probabilities can be expressed in terms of Schubert polynomials.
Based on joint work with Donghyun Kim.

Biography: Lauren Williams is the Robinson professor of mathematics at Harvard and the
Seaver Professor at the Harvard Radcliffe Institute. Her research is in algebraic
combinatorics. Williams received her BA in mathematics from Harvard College in 2000,
and her PhD from MIT in 2005. Subsequently, she was a postdoc at UC Berkeley and
Harvard, then a faculty member at UC Berkeley from 2009 to 2018, before returning to
Harvard in 2018. She is the recipient of a Sloan Research Fellowship, an NSF CAREER
award, the AWM-Microsoft research prize, and is an Honorary member of the London
Mathematical Society.

Note
These seminars will be recorded, including participant questions (participants only
when asking questions), and uploaded to the SMRI YouTube Channel
https://www.youtube.com/c/SydneyMathematicalResearchInstituteSMRI

After registering, you will be sent a confirmation email ~24 hours prior to the
seminar.

For other SMRI seminars and events, visit
https://mathematical-research-institute.sydney.edu.au/news-events/


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