PIMS lectures
Title:
Speaker: Kesav Krishnan, University of Victoria
Date and time:
20 Mar 2024,
9:30am -
10:30am
Location: via Zoom registration required
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Title: PIMS Network-Wide Colloquium Series - Complex dynamics: the real story
Speaker: Sarah Koch, University of Michigan
Date and time:
29 Feb 2024,
1:30pm -
2:30pm
Location: via Zoom Registration required
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Abstract:
We will introduce the research area of complex dynamics by studying the family of (complex) quadratic polynomials, $z->z^2+c$. Historically, mathematicians first studied the dynamics of {\em real} quadratic polynomials and then moved to the complex realm. Recently, there has been a resurgence of mathematical activity surrounding real quadratic polynomials. We will explore some well known features and some rather new features of real polynomials in contrast with those enjoyed by their complex counterparts.
Speaker Biography:
Sarah Koch is a an Arthur F. Thurnau Professor in the Department of Mathematics at the University of Michigan. Her research incorporates topology, algebraic geometry, complex analysis, and Teichmueller theory to better understand complex dynamical systems (in one and several variables) and their associated dynamical moduli spaces from both analytic and algebraic points of view.
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Title: PIMS Network-wide Colloquium: Hamilton-Jacobi equations on the Wasserstein space on graphs
Speaker: Wilfrid Gangbo, UCLA
Date and time:
25 Jan 2024,
1:30pm -
2:30pm
Location: via Zoom registration required
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Description:
We consider metric tensors on undirected weighted graphs G, which allows us to treat P(G), the set of probability vectors on G, as a length space. On defines a divergence operator div_\mu(G) for mu in P(G), in such a way that we can use control vectors m to define paths s:[0,T] \to P(G), satisfying the system of ODEs: d\sigma/dt + div_G(m) + \hbar div_\sigma(\nabla_G log \sigma)=0. These paths serve as characteristics for Hamilton-Jacobi equations involving graph-individual noise operators. We propose a well posedness theory on P(G). (This talk is based on a joint work with C. Mou and A. Swiech)
Other Information:
Time:
All network wide colloquia take place at 1:30pm Pacific Time with a few exceptions.
Registration:
Participants register once on Zoom and can 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 the event date.