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SUMMARY:Index theory on end-periodic manifolds - Saveliev\, N (University 
 of Miami)
DTSTART:20150323T100000Z
DTEND:20150323T110000Z
UID:TALK58525@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Tomasz Mrowka (MIT)\, Daniel Ruberman (Brandeis Un
 iversity) \n\nEnd-periodic manifolds are non-compact Riemannian manifolds 
 whose ends are modeled on an infinite cyclic cover of a closed manifold\; 
 an important special case are manifolds with cylindrical ends. We extend s
 ome of the classical index theorems to this setting\, including the Atiyah
 -Patodi-Singer theorem computing the index of Dirac-type operators. Our th
 eorem expresses this index in terms of a new periodic eta-invariant which 
 equals the classical eta-invariant in the cylindrical end setting.\n
LOCATION:Seminar Room 1\, Newton Institute
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