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SUMMARY:Graduate Student Colloquium: Jonathan Walker-Moses
DESCRIPTION:The Beautiful Interplay of Rotation Groups in Three Dimensions\n\nWe’ll explore the connections between the rotation Lie groups (SU(n) and SO(n)) in two and three dimensions. In doing so\, we’ll prove a remarkable theorem about the way that SU(2) and SO(3) relate using quaternions and then discuss some connections to complex analysis at the end. In doing so\, we’ll take a very fun and (in my opinion) mind-blowing journey through spheres of different dimensions. Absolutely no knowledge of Lie theory is expected and I’ll be happy to clarify any details from topology or group theory that come up that you aren’t familiar with.
URL:https://uwm.edu/math/event/graduate-student-colloquium-jonathan-walker-moses/
LOCATION:EMS Building\, E495\, 3200 N Cramer St\, Milwaukee\, WI\, United States
CATEGORIES:Graduate Student Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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SUMMARY:Colloquium: Prof. Genevieve Walsh
DESCRIPTION:Quasi-isometric Hyperbolic and Cusped Relatively Hyperbolic Groups are Symmetric\nProf. Genevieve Walsh\nProfessor of Mathematics\nTufts University \nThis talk will first describe hyperbolic groups and relatively hyperbolic group pairs\, and give some key examples. We then delve into understanding when the cusp space for a relatively hyperbolic group can be quasi-isometric to a hyperbolic group. For example\, real hyperbolic spaces admit uniform and non-uniform lattices. We show that this is the exception. In particular\, if a hyperbolic group is quasi-isometric to a cusped space for a relatively hyperbolic group\, then both groups are lattices acting on a rank-1 symmetric space. \nThis is joint work with Daniel Groves\, Emily Stark\, and Kevin Whyte.
URL:https://uwm.edu/math/event/colloquium-prof-genevieve-walsh-2/
LOCATION:EMS Building\, E495\, 3200 N Cramer St\, Milwaukee\, WI\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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