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BEGIN:VEVENT
SUMMARY:Hood Chatham (MIT)
DTSTART;VALUE=DATE-TIME:20200406T203000Z
DTEND;VALUE=DATE-TIME:20200406T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/1
DESCRIPTION:Title: An orientation map for height $p−1$ real $E$ theory\n
by Hood Chatham (MIT) as part of MIT topology seminar\n\n\nAbstract\nLet $
p$ be an odd prime and let $\\operatorname{EO}=E^{hC_p}_{p−1}$ be the $C
_p$ fixed points of height $p−1$ Morava $E$ theory. We say that a spectr
um $X$ has algebraic $\\operatorname{EO}$ theory if the splitting of $K_*(
X)$ as an $K_*[C_p]$ module lifts to a topological splitting of $\\operato
rname{EO} \\wedge X$. We develop criteria to show that a spectrum has alge
braic $\\operatorname{EO}$ theory\, in particular showing that any connnec
tive spectrum with mod $p$ homology concentrated in degrees $2k(p−1)$ ha
s algebraic $\\operatorname{EO}$ theory. As an application\, we answer a q
uestion posed by Hovey and Ravenel by producing a unital orientation $MW_{
4p−4} \\to \\operatorname{EO}$ analogous to the $MSU$ orientation of $KO
$ at $p=2$ where $MW_{4p−4}$ is the Thom spectrum of the $(4p−4)$-conn
ective Wilson space.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonathan Campbell (Duke)
DTSTART;VALUE=DATE-TIME:20200413T203000Z
DTEND;VALUE=DATE-TIME:20200413T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/2
DESCRIPTION:Title: Homotopy theory and Hilbert’s third problem\nby Jonat
han Campbell (Duke) as part of MIT topology seminar\n\n\nAbstract\nIn this
talk I'll explain how one might attack Hilbert's Generalized Third Proble
m via homotopy theory\, and describe recent progress in this direction. Tw
o $n$-dimensional polytopes\, $P$\, $Q$ are said to be scissors congruent
if one can cut $P$ along a finite number of hyperplanes\, and re-assemble
the pieces into $Q$. The scissors congruence problem\, aka Hilbert's Gener
alized Third Problem\, asks: when can we do this? what obstructs this? In
two dimensions\, two polygons are scissors congruent if and only if they h
ave the same area. In three dimensions\, there is volume and another invar
iant\, the Dehn Invariant. In higher dimensions\, very little is known —
but the problem is known to have deep connections to motives\, values of
zeta functions\, the weight filtration in algebraic K-theory\, and regulat
or maps. I'll give a leisurely introduction to this very classical problem
\, and explain some new results obtained via homotopy theoretic techniques
. This is joint work with Inna Zakharevich.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Ching (Amherst College)
DTSTART;VALUE=DATE-TIME:20200427T203000Z
DTEND;VALUE=DATE-TIME:20200427T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/3
DESCRIPTION:Title: Tangent ∞-categories and Goodwillie calculus\nby Mich
ael Ching (Amherst College) as part of MIT topology seminar\n\n\nAbstract\
n(Joint with Kristine Bauer and Matthew Burke.) Lurie defines the “tange
nt bundle” to an ∞-category C to be the ∞-category of excisive funct
ors from finite pointed spaces to C. In this talk\, I will describe an abs
tract framework which includes both this construction and the ordinary tan
gent bundle functor on the category of smooth manifolds (as well as many o
ther examples). That framework is an extension to ∞-categories of the
“tangent categories” of Cockett and Cruttwell (based on earlier work o
f Rosický).\n\nThose authors and others have explored the extent to which
various concepts from differential geometry\, such as connections\, curva
ture and cohomology\, can be developed abstractly within a tangent categor
y. Thus our result provides a framework for “doing” differential geome
try in the context of Goodwillie’s calculus of functors. For example\, w
e show that Goodwillie’s notion of n-excisive functor can be recovered f
rom the general notion of “n-jet” in a tangent category.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhouli Xu (MIT)
DTSTART;VALUE=DATE-TIME:20200504T203000Z
DTEND;VALUE=DATE-TIME:20200504T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/4
DESCRIPTION:Title: Stable stems and the Chow-Novikov t-structure in motivi
c stable homotopy category\nby Zhouli Xu (MIT) as part of MIT topology sem
inar\n\n\nAbstract\nIn this talk\, I will discuss recent progress on the c
omputation of classical stable homotopy groups of spheres\, and highlight
some new results regarding certain Adams differentials and their connectio
ns to the Kervaire invariant classes. These computations use the Chow-Novi
kov t-structure on the cellular motivic stable homotopy theory over C in a
n essential way. I will also discuss a recent result that extends this t-
structure to the non-cellular part of the category which holds over any fi
eld\, and its potential applications in computations.\n\nThis talk is base
d on several joint projects involving Tom Bachmann\, Robert Burklund\, Bog
dan Gheorghe\, Dan Isak- sen\, Hana Jia Kong and Guozhen Wang.\n\nFor info
rmation\, write: burklund@mit.edu\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tyler Lawson (University of Minnesota)
DTSTART;VALUE=DATE-TIME:20200511T203000Z
DTEND;VALUE=DATE-TIME:20200511T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/5
DESCRIPTION:Title: Obstruction theory for ring spectra\nby Tyler Lawson (U
niversity of Minnesota) as part of MIT topology seminar\n\n\nAbstract\nI'l
l discuss calculational methods for determining moduli of objects and maps
between $E_\\infty$ ring spectra\, and the relation to topological Andre-
Quillen cohomology.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Yakerson (Regensburg University)
DTSTART;VALUE=DATE-TIME:20200721T160000Z
DTEND;VALUE=DATE-TIME:20200721T170000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/6
DESCRIPTION:Title: New Models for Motivic K-Theory Spectra\nby Maria Yaker
son (Regensburg University) as part of MIT topology seminar\n\n\nAbstract\
nAlgebraic and hermitian K-theories of smooth schemes are generalized coho
mology theories\, represented in the motivic stable homotopy category. In
this talk\, we explain how to obtain new geometric models for the corresp
onding motivic spectra\, based on the specific kinds of transfer maps that
these cohomology theories acquire. As a surprising side-effect\, we com
pute the motivic homotopy type of the Hilbert scheme of infinite affine sp
ace. This is joint work with Marc Hoyois\, Jochim Jelisiejew\, Denis Nar
din and Burt Totaro.\n\nFor information\, write: adelayyz@mit.edu\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Clausen (Max Plank Institute)
DTSTART;VALUE=DATE-TIME:20200728T160000Z
DTEND;VALUE=DATE-TIME:20200728T170000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/7
DESCRIPTION:Title: The Linearization Hypothesis\nby Dustin Clausen (Max Pl
ank Institute) as part of MIT topology seminar\n\n\nAbstract\nLazard showe
d that the continuous group cohomology of a large class ofp-adic Lie group
s\, with p-adic coefficients\, satisfies Poincare duality. Analogously to
the usual Poincare duality of real manifolds\, there are orientability iss
ues\, but Lazard showed that the relevant orientation local system is comp
letely determined by the adjoint representation of the group in an explici
t manner\, allowing for an easy analysis. This can be compared to how the
orientation local system on a real manifold is determined by the tangent
bundle\, a very useful "linearization" of the problem. Now\, there is an
analogous Poincare duality with spectrum coefficients both in the setting
of p-adic Lie groups and in the setting of real manifolds. In the latter
case the relevant orientation local system is still determined by the tang
ent bundle\; in fact it is the suspension spectrum of the associated spher
e bundle\, a statement known as Atiyah duality. In the former case\, ther
e is a natural guess for how the orientation local system should still be
determined by the adjoint representation. This has been highlighted by re
cent work of Beaudry-Goerss-Hopkins-Stojanoska in their study of duality f
or tmf\, and they dubbed this guess the "linearization hypothesis". Neith
er Lazard's techniques nor the usual arguments for Atiyah duality can be u
sed to attack the\nlinearization hypothesis. In this talk I will explain
a proof of the linearization hypothesis\, whose main ingredients are a def
ormation of any p-adic Lie group to its Lie algebra\, and a rather exotic
"cospecialization map" which lets you use this deformation to jump from th
e Lie algebra to the Lie group as if the deformation were parametrized by
a unit interval\, even though it is only parametrized by a totally disconn
ected space.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benjamin Antieau (University of Illinois at Chicago and Northweste
rn University)
DTSTART;VALUE=DATE-TIME:20200804T160000Z
DTEND;VALUE=DATE-TIME:20200804T170000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/8
DESCRIPTION:Title: Higher Brauer groups\nby Benjamin Antieau (University o
f Illinois at Chicago and Northwestern University) as part of MIT topology
seminar\n\n\nAbstract\nI will give an introduction to the idea of higher
Brauer groups\, focusing on the "next" higher Brauer group\, consisting of
Morita equivalence classes of certain Azumaya categories. The emphasis of
the talk will be on analogies\, examples\, calculations\, and open proble
ms.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Nikolaus (Münster)
DTSTART;VALUE=DATE-TIME:20200811T160000Z
DTEND;VALUE=DATE-TIME:20200811T170000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/9
DESCRIPTION:Title: On Grothendieck--Witt theory of the integers.\nby Thoma
s Nikolaus (Münster) as part of MIT topology seminar\n\n\nAbstract\nWe in
troduce the Grothendieck--Witt groups of the integers and the Grothendieck
--Witt spectrum of the integers. Then we explain how to compute these grou
ps and the homotopy type of the spectrum using recent work on K-theory and
L-theory. If time permits we also explain how to resolve the homotopy lim
it problem for rings of integers in number fields and prove Karoubi's peri
odicity conjecure for arbitrart rings.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marc Hoyois (Regensburg University)
DTSTART;VALUE=DATE-TIME:20200818T160000Z
DTEND;VALUE=DATE-TIME:20200818T170000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/10
DESCRIPTION:by Marc Hoyois (Regensburg University) as part of MIT topology
seminar\n\nInteractive livestream: https://mit.zoom.us/j/132540375\nAbstr
act: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rune Haugseng (Norwegian University of Science and Technology)
DTSTART;VALUE=DATE-TIME:20200825T160000Z
DTEND;VALUE=DATE-TIME:20200825T170000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/11
DESCRIPTION:by Rune Haugseng (Norwegian University of Science and Technolo
gy) as part of MIT topology seminar\n\nInteractive livestream: https://mit
.zoom.us/j/132540375\nAbstract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Gepner (University of Illinois at Chicago)
DTSTART;VALUE=DATE-TIME:20200921T203000Z
DTEND;VALUE=DATE-TIME:20200921T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/12
DESCRIPTION:by David Gepner (University of Illinois at Chicago) as part of
MIT topology seminar\n\nInteractive livestream: https://mit.zoom.us/j/132
540375\nAbstract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adeel Khan (Regensburg University)
DTSTART;VALUE=DATE-TIME:20200928T203000Z
DTEND;VALUE=DATE-TIME:20200928T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/13
DESCRIPTION:by Adeel Khan (Regensburg University) as part of MIT topology
seminar\n\nInteractive livestream: https://mit.zoom.us/j/132540375\nAbstra
ct: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonathan Campbell (Center for Communications Research La Jolla)
DTSTART;VALUE=DATE-TIME:20201005T203000Z
DTEND;VALUE=DATE-TIME:20201005T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/14
DESCRIPTION:by Jonathan Campbell (Center for Communications Research La Jo
lla) as part of MIT topology seminar\n\nInteractive livestream: https://mi
t.zoom.us/j/132540375\nAbstract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ben Knudsen (Northeastern University)
DTSTART;VALUE=DATE-TIME:20201019T203000Z
DTEND;VALUE=DATE-TIME:20201019T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/15
DESCRIPTION:by Ben Knudsen (Northeastern University) as part of MIT topolo
gy seminar\n\nInteractive livestream: https://mit.zoom.us/j/132540375\nAbs
tract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcy Robertson (University of Melbourne)
DTSTART;VALUE=DATE-TIME:20201026T203000Z
DTEND;VALUE=DATE-TIME:20201026T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/16
DESCRIPTION:by Marcy Robertson (University of Melbourne) as part of MIT to
pology seminar\n\nInteractive livestream: https://mit.zoom.us/j/132540375\
nAbstract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Markus Hausmann (Universität Bonn)
DTSTART;VALUE=DATE-TIME:20200630T160000Z
DTEND;VALUE=DATE-TIME:20200630T170000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/17
DESCRIPTION:Title: Global group laws and the equivariant Quillen theorem\n
by Markus Hausmann (Universität Bonn) as part of MIT topology seminar\n\n
\nAbstract\nI will discuss an equivariant version of Quillen's theorem tha
t the complex bordism ring carries the universal formal group law\, both o
ver a fixed abelian group and in a global equivariant setting.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agnès Beaudry (University of Colorado Boulder)
DTSTART;VALUE=DATE-TIME:20201116T213000Z
DTEND;VALUE=DATE-TIME:20201116T223000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/18
DESCRIPTION:by Agnès Beaudry (University of Colorado Boulder) as part of
MIT topology seminar\n\nInteractive livestream: https://mit.zoom.us/j/1325
40375\nAbstract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Piotr Pstragowski (Harvard)
DTSTART;VALUE=DATE-TIME:20201102T213000Z
DTEND;VALUE=DATE-TIME:20201102T223000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/19
DESCRIPTION:by Piotr Pstragowski (Harvard) as part of MIT topology seminar
\n\nInteractive livestream: https://mit.zoom.us/j/132540375\nAbstract: TBA
\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oscar Randal-Williams (University of Oxford)
DTSTART;VALUE=DATE-TIME:20200914T203000Z
DTEND;VALUE=DATE-TIME:20200914T213000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/20
DESCRIPTION:by Oscar Randal-Williams (University of Oxford) as part of MIT
topology seminar\n\nInteractive livestream: https://mit.zoom.us/j/1325403
75\nAbstract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amnon Neeman (Australian National University)
DTSTART;VALUE=DATE-TIME:20201109T213000Z
DTEND;VALUE=DATE-TIME:20201109T223000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/21
DESCRIPTION:by Amnon Neeman (Australian National University) as part of MI
T topology seminar\n\nInteractive livestream: https://mit.zoom.us/j/132540
375\nAbstract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Speirs (Harvard)
DTSTART;VALUE=DATE-TIME:20201130T213000Z
DTEND;VALUE=DATE-TIME:20201130T223000Z
DTSTAMP;VALUE=DATE-TIME:20200812T062111Z
UID:MITTop/22
DESCRIPTION:by Martin Speirs (Harvard) as part of MIT topology seminar\n\n
Interactive livestream: https://mit.zoom.us/j/132540375\nAbstract: TBA\n
URL:https://mit.zoom.us/j/132540375
END:VEVENT
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