
Friday January 19th at 10.15  12.00 in room B63
CLARK BARWICK:
Infinitycategories for fun and profit, X

Wednesday January 24th at 14.15  16.00 in room B91
CLARK BARWICK:
Infinitycategories for fun and profit, XI

Wednesday February 14th at 14.15  16.00 in room B91
CLARK BARWICK:
Homotopical algebraic geometry, III

Wednesday February 21st at 14.15  16.00 in room B91
CLARK BARWICK:
Homotopical algebraic geometry, IV

Friday February 23rd at 10.15  12.00 in room B63
CLARK BARWICK:
Infinitycategories for fun and profit, XII

Wednesday February 28th at 14.15  16.00 in room B91
CLARK BARWICK:
Homotopical algebraic geometry, V

Friday March 2nd at 10.15  12.00 in room B63
JOHN ROGNES:
Topological logarithmic structures, II

Wednesday March 7th at 14.15  16.00 in room B91
CLARK BARWICK:
Homotopical algebraic geometry, VI

Friday March 23rd at 10.15  12.00 in room B63
PHILIPP REINHARD (Glasgow):
Cellular simplicial algebras, II

Wednesday March 28th at 14.15  16.00 in room B91
ANDY BAKER (Glasgow/Oslo):
More on AndréQuillen homology and minimal atomic Salgebras
I will discuss further facts about TAQ and how to do calculations
to check whether various Salgebras are minimal atomic.

Friday April 13th at 10.15  12.00 in room B63
CLARK BARWICK:
Homotopical algebraic geometry, VII

Tuesday April 17th at 14.15  16.00 in room B63
CLARK BARWICK:
Homotopical algebraic geometry, VIII

Friday April 27th at 10.15  12.00 in room B63
CLARK BARWICK:
Ktheory of infinitycategories, I

Friday May 4th at 14.15  15.15 in room B63
ANDY BAKER:
Power operations and nonextensions of Salgebras

Wednesday May 9th at 14.15  16.00 in room B91
JOHN ROGNES:
Topological logarithmic structures, IV

Friday May 11th at 10.15  12.00 in room B63
CLARK BARWICK:
Ktheory of infinitycategories, II

Wednesday May 16th at 14.15  16.00 in room B91
JOHN ROGNES:
Topological cyclic homology, I
A basic introduction to Bökstedt's model for topological Hochschild
homology (THH) of a symmetric ring spectrum, its cyclic fixed points,
the Frobenius and restriction maps, and topological cyclic homology (TC).

Friday May 18th at 10.15  12.00 in room B63
JOHN ROGNES:
Topological cyclic homology, II
We discuss the normrestriction sequence for
cyclic fixed points of THH for Gammarings.

Friday August 31st at 10.15  12.00 in room B71
CLARK BARWICK:
GrothendieckVerdier duality, I

Tuesday September 4th at 14.15  16.00 in room B63
CLARK BARWICK:
GrothendieckVerdier duality, II

Wednesday September 5th at 14.15  16.00 in room B62
SVERRE LUNØENIELSEN:
Homotopy of the Tate construction
We will discuss a procedure to compute the homotopy groups of the homotopy
inverse limit of bounded below spectra of finite type. Given such a limit
system of spectra Y > ... > Y_{n} > Y_{n+1}, there
is a version of the Adams spectral sequence due to CarusoMayPriddy
that calculates the padic homotopy of Y based on the direct limit
of the cohomology groups H^{*} (Y_{n}; F_{p})
as n tend to minus infinity.
Our main examples of such towers come from the Tate construction on X,
where X is a Gspectrum. This Tate construction can expressed as a
homotopy inverse limit, and there is a (co)homological Tate spectral
sequence converging, under certain hypotheses, to the limiting cohomology
groups above.
Our interest in the Tate construction stems from its relation to the
study of the natural map X^{G} > X^{hG} comparing fixed
points and homotopy fixed points of the Gspectrum X. Hopefully the
talk will include some motivating background of the problem, putting it
into context.

Friday September 7th at 10.15  12.00 in room B71
CLARK BARWICK:
Dcrystals, I

Wednesday September 12th at 14.15  16.00 in room B62
SVERRE LUNØENIELSEN:
The topological Singer construction, I

Friday September 14th at 10.15  12.00 in room B62
JOHN ROGNES:
Topological logarithmic structures, repeat, I

Wednesday September 19th at 14.15  16.00 in room B62
SVERRE LUNØENIELSEN:
The topological Singer construction, II

Friday September 21st at 10.15  12.00 in room B62
JOHN ROGNES:
Topological logarithmic structures, repeat, II

Wednesday September 26th at 14.15  16.00 in room B62
BOB BRUNER:
The Segal conjecture for cyclic groups
(Following D.C. Ravenel.)

Friday October 5th at 10.15  12.00 in room B62
MARCEL BÖKSTEDT:
Higher cyclic reduced/extended powers
(Following I. Ottosen.)

Tuesday October 9th at 14.15  16.00 in room B63
MARCEL BÖKSTEDT:
Higher cyclic reduced/extended powers, II

Wednesday October 10th at 14.15  16.00 in room B62
SVERRE LUNØENIELSEN:
C_{p}fixed points of THH(F_{p}) and THH(Z)
We will study the canonical map THH(B)^{C} > THH(B)^{hC}
for the cyclic group C = C_{p} of order p and B = HF_{p},
HZ. The result, already known by work of HesselholtMadsen and
BökstedtMadsen, is that fixed points and homotopy fixed points are
padically equivalent on connective covers, in homotopy with (suitably
chosen) finite coefficients.
Our proof of this fact will be carried out by using homological methods,
including a precise description of the continuous cohomology of the
C_{p}Tate construction on THH(B), for the Salgebras B in
question.
For the field of p elements, we show that the continuous cohomology
of THH(F_{p})^{tCp} is isomorphic, as a
left Amodule, to the module gotten from R_{+}(F_{p})
by inducing the latter up to a left Amodule over the sub algebra
A_{0}. A similarly statement is true for B = HZ.
Our main technical tool is the map of spectra Psi: R_{+}(B) >
THH(B)^{tCp}. We will describe the homological Tate
spectral sequences involved and the map of spectral sequences induced
by Psi.

Friday October 12th at 10.15  12.00 in room B62
SVERRE LUNØENIELSEN:
C_{p}fixed points of THH(F_{p}) and THH(Z), II

Friday December 14th at 10.15  12.00 in room B1000
CLARK BARWICK:
Dcrystals, II