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Thursday, May 11, 2017

Analysis Seminar
2:00 pm   in 241 Altgeld Hall,  Thursday, May 11, 2017
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Submitted by fboca.
 Sergey Neshveyev (University of Oslo)Noncommutative random walks and classification of compact quantum groups of Lie typeAbstract: Compact quantum groups are noncommutative generalizations of compact groups. A natural problem, studied by a number of people and explicitly formulated by Woronowicz already in the 80s, is how to classify quantum groups with representation theory "looking like" that of a compact connected Lie group. I will explain a classification result for a large class of such quantum groups. The main goal, however, will be to discuss noncommutative random walks and their Poisson boundaries, which played a crucial role in obtaining that classification.