Groupe de Travail: Higher Algebra and Geometry
Wednesday 9-10:30 Am. Room 505, Building 15-25, Jussieu
Planning:
Sept 27: 1st Meeting
Oct 4: HH, HC, HN and circle actions: Classical vs fancy Part I (Marco) [ Notes]
Oct 11: Circle Actions and S^1-modules (Mauro) Attention: Akhil Mathew's talk at the 11Am seminar.
Oct 18: GDR topology
Oct 25: HH, HC, HN and circle actions: Classical vs fancy Part II (Marco)
Nov 8: HH, HC, HN and circle actions: Classical vs fancy Part III (Marco) Notes ]
Nov 15: Foundations of Spectra I: Category of Spectra (Jean-Michel) [ Notes]
Nov 22: Foundations of Spectra II: Smash product of spectra (Jean-Michel) [ Notes]
Nov 29: Tate construction (Geoffroy) [ Notes]
Dec 6: Break
Dec 13: Tate orbit Lemma I (Gregory) [6]
Dec 22: Tate orbit Lemma II (Gregory) [6]
Jan 3: Break
Jan 17: Cyclotomic Spectra and computations of TC^-(Fp) and TP(FP) (Matthew) [ Notes]
Jan 24 (Attention: Place: Paris 13, Time: 9AM, Room: B405): Equivariant Homotopy Theory and classical definitions of Cyclotomic Spectra (Denis)
Jan 31: Equivariant Homotopy Theory II: genuine cyclotomic spectra (Denis) Notes]
Feb 7: Scholze-Nikolaus equivalent definitions of Cyclotomic spectra. Comparison Theorem (Christian) [6]
Feb 14: THH as a cyclotomic spectrum (Yonatan)
Feb 21: Construction of THH
as a cyclotomic spectrum I (Yonatan)
Feb 28: Break
March 7: Construction of THH
as a cyclotomic spectrum II (Yonatan)
March 14: (Attention: Place: Paris 13, Time: 9AM, Room: C305)
Special Lecture - The Pullback square (B.I. Dundas)
March 21: Special Lecture II - The Pullback square (B.I. Dundas)
March 28:
- 9AM : Construction of THH
as a cyclotomic spectrum III (Yonatan)
- 10 AM: Bokstedt Computation of THH(Fp) I (Maxime)
April 4: Bokstedt Computation of THH(Fp) II (Maxime) [ Notes]
April 11: Schapira's Conference at IHP
April 18: Break
April 25: Frobenius and Steenrod operations (Gregory)
May 2: More on TC and p-adic computations (Matthew)
June 20 (Closure): (Matthew)
References:
[1] Loday, Cyclic Homology
[2] Weibel, Introduction to Homological Algebra
[3] Toen-Vezzosi Algebres simpliciales S^1-equivariantes et theorie de de Rham.
[4] Hoyois The fixed points of the circle action on Hochschild Homology
[5] J. Lurie Higher Algebra
[6] Scholze-Nikolaus On topological cyclic homology