\u00a0More information<\/a>\u00a0on the distinguished lecture series<\/p>\n Much of the focus of topology during the last 40 years has been the so-called `low dimensions,’ meaning For further information call The 2017 distinguished lecture series was given by Professor John Morgan\u00a0 (State University of New York at Stony Brook) – March\u00a028-30. \u00a0More information\u00a0on the distinguished lecture series Talk slides The Topology of Spaces of Dimensions 3 and 4 Abstract Much…Talk slides<\/a><\/h2>\n
The Topology of Spaces of Dimensions 3 and 4<\/span><\/h2>\n
Abstract<\/h3>\n
\ndimensions 3 and 4. These talks will survey the state of our understanding of low dimensional spaces. In
\ndimension 3 the classification of the spaces is intimately connected with Lie groups with compact subgroups
\nof codimension 3 and their lattice subgroups. While this classification is understood, there remain many
\nintriguing questions about knots and links in 3-dimensional spaces. These questions are closely connected to
\nideas from physics. In dimension 4, it turns out that there it makes a huge difference whether one classifies
\nup to continuous equivalence or infinitely differentiable equivalence. Much more is known in the
\ncontinuous case. In the differentiable case there are invariants that allow us to show that spaces are
\ncontinuously equivalent are, in fact, not differentiably equivalent. In the first instance, these invariants were
\nderived from physics, though later incarnations of these invariants have a purely topological description.
\nThe first two talks will be aimed at a completely general mathematical audience (including graduate
\nstudents) and the last will assume only slightly more knowledge of the audience.<\/span><\/p>\nOn Tuesday, March 28, 2017 at 16:30<\/h4>\n
On Wednesday, March 29, 2017 at 16:30<\/h4>\n
On Thursday, March 30, 2017 at 10:30 .<\/h4>\n
All lectures will take place\u00a0in room 570 of the Science & Education Building
\nRefreshments will be served 30 minutes before the the times above<\/h4>\n
\n04-8249294 , 04-8240699<\/p>\n","protected":false},"excerpt":{"rendered":"
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