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DTSTAMP:20160919T201000Z
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CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20160919T201000Z
DTEND:20160919T210000Z
SUMMARY:Topology Seminar Series
DESCRIPTION:
 Title: Involutions and Floer Homology-1\n
 Speaker: 
 Kristen Hendricks, MSU\n
 \n
 In this set of 
 lectures, we will discuss equivariant (mostly 
 Z_2, with occasional digressions into other 
 groups) versions of several theories collected 
 on the term 'Floer homology.' The first two 
 lectures will focus on equivariant Lagrangian 
 Floer cohomology. We will first do a quick 
 review of ordinary equivariant cohomology, give 
 an abbreviated introduction to Lagrangian 
 Floer cohomology, and discuss some of the technical 
 issues involved in constructing equivariant 
 versions of same. We will then go over 
 two major approaches to resolving these technical 
 difficulties, with some examples and applications 
 of each to such theories as Heegaard 
 Floer homology and symplectic Khovanov homology. 
 The third lecture will take a slightly 
 different tack and focus on equivariant versions 
 of Seiberg-Witten Floer homology (and, eventually, 
 its analog Heegaard Floer homology) 
 with applications to the homology cobordism 
 groups. We will talk briefly about the structure 
 of the integer homology cobordism group, 
 and then discuss Manolescu's use of a Pin(2)-equivariant 
 version of Seiberg-Witten Floer homology 
 to resolve the Triangulations Conjecture. 
 Finally, we will then discuss additional 
 recent applications of the same ideas, including 
 the use of an involution on Heegaard Floer 
 homology to construct an 'involutive' theory 
 analogous to Z_4-Seiberg Witten Floer homology.\n\n
 Price: free\n
 Sponsor: Department of Mathematics\n
 Sponsor's Homepage: https://www.math.msu.edu/\n
 Contact name: Department of Mathematics\n
 Contact phone: (517) 353-0844\n
 for more info visit the web at:\n 
 https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:C304 Wells Hall
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