Research seminar on Algebraic KTheory
The topic of the seminar for this semester is (higher) algebraic
Ktheory. The plan is to study first some classical papers on the subject (Grayson, Quillen, Waldhausen,...)
and then move towards a more modern approach.

Time and place:
Fridays 15:3017:00 Huygensgebouw room HG03.085 (Hilbert's room).
Note that Talks 07, 08 and 09 will be on Monday in room HG01.028 from 15:00.
Schedule for the talks >

Talk 01, 03/10/14:
The Qconstruction (Matan Prasma)

Talk 02, 10/10/14:
On Quillen's Theorem A and B (Javier J. Gutiérrez)

Talk 03, 17/10/14:
The localization theorem for abelian categories (Joost Nuiten)
 Talk 04, 24/10/14:
The S^{1}S construction (Ieke Moerdijk)
 Talk 05, 31/10/14:
The Waldhausen's Sconstruction (I) (Giovanni Caviglia)
 There will be
no session on 07/11/14 due to the GQT colloquium in Zandvoort.
 Talk 06, 14/11/14:
The Waldhausen's Sconstruction (II) (Javier J. Gutiérrez)
 Talk 07, 24/11/14:
The Waldhausen's Sconstruction (III) (Giovanni Caviglia)
 Talk 08, 24/11/14:
On the relation between the Qconstruction and the Sconstruction (Joost Nuiten)
 Talk 09, 01/12/14:
On Quillen's plus construction (Matan Prasma)
 Talk 10, 12/12/14:
On the group completion (Ieke Moerdijk)
References >
 H. Bass, Algebraic Ktheory. W. A. Benjamin, Inc., New YorkAmsterdam, 1968.
 A. Blumberg and M. Mandell, Algebraic Ktheory and abstract homotopy theory.
Adv. Math. 226 (2011), no. 4, 37603812.
 A. Elmendorf and M. Mandell, Ring, modules and algebras in infinite loop space theory.
Adv. Math 205 (2006), 163228.
 H. Gillet and D. R. Grayson, The loop space of the Qconstruction.
Illinois J. Math. 31 (1987), 574597. (+erratum)
 D. R. Grayson, Higher algebraic Ktheory II.
Algebraic Ktheory, Evanston 1976, Lecture Notes in Math. 551, Springer,1976.
 D. Quillen, Higher algebraic Ktheory I.
Higher Ktheories, Battelle 1972, Lecture Notes in Math. 341, Springer, 1973 .
 D. Quillen, Higher algebraic Ktheory.
Proceedings of the ICM, Vancouver 1974, Canad. Math. Congress, 1973.
 D. Quillen, Higher Ktheory for categories with exact sequences.
Proc. Sympos. Algebraic Topology, Oxford 1972, London Math. Soc. Lecture Note Ser. 11, 1974.
 F. Waldhausen, Algebraic Ktheory of spaces.
Algebraic and geometric topology, New Brunswick, 1983, Lecture Notes
in Math., 1126, Springer, 1985.
 F. Waldhausen, Algebraic Ktheory of spaces, localization,
and the chromatic filtration of stable homotopy.
Algebraic topology, Aarhus 1982, Lecture Notes in Math. 1051,Springer, 1984.
 F. Waldhausen, Operations in the algebraic Ktheory of spaces.
Algebraic Ktheory, Part II, Oberwolfach 1980), Lecture Notes in Math. 967, Springer, 1982.
 C. Weibel, The Kbook: an introduction to algebraic Ktheory. Graduate Studies in Math. vol. 145, AMS, 2013.
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