BEGIN:VCALENDAR
VERSION:2.0
CALSCALE:GREGORIAN
PRODID:iCalendar-Ruby
BEGIN:VEVENT
CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Featured Speaker: Piotr Suwara (MIT)\n\nTitle: Constructing Flo
 er homologies: Morse theory vs. infinite-dimensional cycles\n\nAbstract: Fl
 oer's idea of obtaining homological invariants in symplectic and low-dimens
 ional topology via a construction of a Morse-Smale-Witten chain complex\, c
 omputing the "middle-dimensional homology" of some specific infinite-dimens
 ional spaces\, led to the construction of groundbreaking invariants known c
 ollectively under the name of "Floer homology". Soon after the emergence of
  these ideas Atiyah suggested thinking about Floer theories as describing t
 he homology of "semi-infinite dimensional cycles". Following the (unpublish
 ed) work of Mrowka and Ozsváth\, Lipyanskiy defined Floer homology and Floe
 r bordism groups using semi-infinite dimensional cycles for a class of so-c
 alled Floer spaces. The construction is appealing since it does not require
  considering the compactification of moduli spaces of trajectories\, which 
 is a subtle analytical procedure\, or perturbing the Floer functional\, whi
 ch is usually a serious obstacle for defining equivariant Floer homologies.
  I will describe the construction of this semi-infinite Floer homology and 
 argue why it recovers the tilde flavor (i.e. the non-equivariant version) o
 f Monopole Homology (assuming no reducible solutions).
DTEND:20200309T200000Z
DTSTAMP:20260417T152448Z
DTSTART:20200309T190000Z
GEO:42.358262;-71.090045
LOCATION:Building 2\, 2-449
SEQUENCE:0
SUMMARY:Geometry and Topology Seminar
UID:tag:localist.com\,2008:EventInstance_32875162830605
URL:https://calendar.mit.edu/event/geometry_and_topology_seminar_5382
END:VEVENT
END:VCALENDAR