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DTSTART:20210328T030000
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DTSTAMP:20260404T133043Z
UID:1604589300@ist.ac.at
DTSTART:20201105T161500
DTEND:20201105T171500
DESCRIPTION:Speaker: Melchior Wirth\nhosted by Jan Maas\nAbstract: (Quantum
 ) Markov semigroups play a role in a variety of fields such as operator al
 gebras\, classical and quantum probability\, differential geometry and ope
 n quantum systems. As they model dissipative time evolutions\, they tend t
 o converge to an equilibrium state in the long-time limit. One central que
 stion is to quantify this return to equilibrium. If one uses the entropy a
 s a measure of the deviation from the equilibrium state\, this question is
  closely related to logarithmic Sobolev inequalities. In the classical cas
 e\, Bakry-Émery theory or optimal transport methods allow to deduce such 
 logarithmic Sobolev inequalities from lower bounds on the Ricci curvature.
  In this talk I will review a notion of lower Ricci curvature bounds via a
  gradient estimate that allows to transfer the optimal transport approach 
 to the quantum setting. I will discuss some of its stability properties an
 d show how to obtain lower Ricci curvature bounds for a couple of examples
  such as quantum tori\, free group factors and q-Gaussian algebras. (This 
 talk is based on joint work with Haonan Zhang.) 
LOCATION:Online via Zoom\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Melchior Wirth: Gradient estimates for quantum Markov semigroups an
 d return to equilibrium
URL:https://talks-calendar.ista.ac.at/events/2886
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