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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 243: seminar in functional analysis
nicolas monod
highly ergodic boundaries and applications to cohomology
abstract:
the "boundaries" of the title refer to group action on measure spaces that enjoy the amenability property discovered by furstenberg, margulis and zimmer. over the last half-century these boundaries have been invaluable for group theory, rigidity, and more recently "bounded cohomology" -- which is the same as the cohomology of convolution algebras.
we will see that many familiar groups admit surprisingly strong ergodicity properties for boundaries. this applies to lamplighters, thompson groups and many transformation groups. as a consequence, we determine the bounded cohomology of some of these groups.
november 19, 2024
11:00 am
apm b412
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