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Online TalkÌý

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Passcode: 998749

We will describe a new equivariant versionÌýofÌý»å¾±²õ³¦°ù±ð³Ù±ðÌýMorseÌýtheoryÌýdesigned speciallyÌýforÌýquotient objects X/G which arise naturally in geometric groupÌýtheoryÌýfrom actionsÌýofÌýfiniteÌýgroupsÌýG on finite simplicialÌýcomplexesÌýX. Our main tools are (A) a reconstruction theorem due to Bridson and Haefliger which recovers X from X/G decorated with stabiliser data, and (B) a 2-categorical upgradeÌýofÌý»å¾±²õ³¦°ù±ð³Ù±ðÌýMorseÌýtheoryÌýwhich faithfully captures the underlying homotopy type. Both tools will be introduced during the courseÌýofÌýthe talk. This is joint work with Naya Yerolemou.