PIMS Network Wide Colloquium: Amie Wilkinson
Topic
Dynamical symmetry is atypical
Speakers
Details
I will discuss a result with Bonatti and Crovisier from 2009 showing that the C^1 generic diffeomorphism f of a closed manifold has trivial centralizer; i.e. fg = gf implies that g is a power of f. I’ll discuss features of the C^1 topology that enable our proof (the analogous statement is open in general in the C^r topology, for r>1). I’ll also discuss some features of the proof and some recent work, joint with Danijela Damjanovic and Disheng Xu that attempts to tackle the non-generic case.
Additional Information
Speaker biography:
Amie Wilkinson is an American mathematician and Professor of Mathematics at the University of Chicago, known for her groundbreaking contributions to smooth dynamical systems, ergodic theory, and chaos theory. She has made significant strides in resolving Stephen Smale's twelfth problem for the 21st century in collaboration with Christian Bonatti and Sylvain Crovisier.
Wilkinson earned her BA in Mathematics from Harvard University in 1989 and her PhD from the University of California, Berkeley, in 1995 under Charles C. Pugh. A fellow of the American Mathematical Society, she has received numerous accolades, including the Levi L. Conant Prize in 2020, and is a member of the Academia Europaea and the American Academy of Arts and Sciences.
Time:
All Network Wide Colloquia take place at 1:30pm Pacific Time with a few exceptions.
Registration:
Participants register once on Zoom and may attend any of the colloquium talks. Please remember to download the calendar information to save the dates on your calendar. PIMS will resend the confirmation from Zoom prior to each event date.