Mathematics
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Upcoming EventsSpecial Analysis Seminar, Jun 14
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=117671&date=2018-06-14
We study weighted resolvent bounds for semiclassical SchrĂ¶dinger operators. When the potential function is Lipschitz with long range decay, the resolvent norm grows exponentially in the inverse semiclassical parameter $h$. When the potential belongs to $L^\infty $ and has compact support, the resolvent norm grows exponentially in $h^{-4/3}\log (h^{-1})$. This extends the works of Burq, Cardoso-Vodev, and Datchev. Our main tool is a global Carleman estimate. Applying the resolvent estimates along with the resonance theory for blackbox perturbations, we show local energy decay for the wave equation with wavespeeds that are an $L^\infty $ perturbation of unity.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=117671&date=2018-06-14Topology in Dimension 3, 3.5 and 4, Jun 25
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=117895&date=2018-06-25
An attempt to use Thompsonâ€™s groups as local scale transformations on quantum spin chains led to the discovery of some geometrically defined unitary group representations. In particular for the same quantum spin chains that gave rise to the Jones polynomial via the braid groups, an alternative history would allow it to arise from the Thompson group.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=117895&date=2018-06-25Conference, Jun 25
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=117896&date=2018-06-25
A conference in honor of Abby Thompson, Marty Scharlemann, and Rob Kirby.<br />
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June 25-29, 2018<br />
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Website: https://sites.google.com/sjsu.edu/thompscharbyfest/http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=117896&date=2018-06-25