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UID:20201021T133501EDT-8023c9a4c8@https://events.wayne.edu/
DTSTAMP:20201021T173501Z
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CLASS:public
CREATED:20200305T084136Z
DESCRIPTION:Speaker: Manuel Krannich\, University of Cambridge\nTitle:
\;Pseudoisotopies of even discs and algebraic K-theory of the integers\nAb
stract: There is an intimate connection between algebraic K-theory and the
space of pseudo-isotopies P(M) of a compact d-manifold M (that is\, diffe
omorphisms of a cylinder M x I that are the identity on M x 0 and &part\;M
x I). Classically\, the pseudo-isotopy space P(M) is studied in two steps
: there is a stabilisation map P(M)->\; P(M x I) which is approximately
d/3-connected by a result of Igusa\, and the colimit has a description in
terms of Waldhausen's algebraic K-theory of spaces due to Waldhausen--Jahr
en--Rognes' stable parametrised h-cobordism theorem.\nIn this talk\, I wil
l focus on the case of an even-dimensional disc and explain a new method t
o relate its space of pseudo-isotopies to the algebraic K-theory of the in
tegers in a range up to roughly the dimension. This approach is independen
t of the usual route\, does not involve stabilising the dimension\, and is
homological in nature.
DTSTART:20200319T140000
DTEND:20200319T150000
LOCATION:FacultyAdministration
SUMMARY:CANCELLED- Mathematics Topology Seminar - Manuel Krannich
TRANSP:OPAQUE
URL:https://events.wayne.edu/main/2020/03/19/cancelled-mathematics-topology
-seminar-manuel-krannich-85709/
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