Ktheory and motivic homotopy theory seminarYear 20132014Time/Location: Tuesdays 4:10pm: JR 295 in Spring semester (unless otherwise noted) 

TIME  SPEAKER  TITLE  HOST  
September 17
Tue, 4:10pm Journalism 353  Roy Joshua

Algebraic Cycles and motives: a bird's eye view  Joshua  
September 24
Tue, 4:10pm 
Roy Joshua

Comparison of motivic and classical operations in motivic and etale cohomology  Joshua  
October 1
Tue, 4:10pm 
John Harper
(OSU, Newark) 
Kcoalgebras, TQcompletion, and a structured ring spectra analog of QuillenSullivan theory  N/A  
October 8
Tue, 4:10pm 
John Harper
(OSU, Newark) 
On a homotopic descent result for topological Quillen homology of structured ring spectra  N/A  
October 15
Tue, 4:10pm 
Open




October 25
Fri, Special seminar 
Ravindra Girivaru
(University of Missouri  St. Louis) 
TBA  Joshua  
October 29
Tue, 4:10pm 
Open

N/A  
November 5
Tue, 4:10pm 
Open


November 12
Tue, 4:10pm 
Marc Hoyois
(Northwestern) 
TBA  Joshua  
November 19
Tue, 4:10pm 
Open


November 26
Tue, 4:10pm 
Amalendu Krishna
(TIFR) 
TBA  Joshua  
January 7
Tue, 4:10pm 
No Seminar

N/A  
January 14
Tue, 4:10pm 
Open


January 21
Tue, 4:10pm 
Open


January 28
Thu, 4:10pm 
Open


February 4
Tue, 4:10pm 
Open


February 11
Tue, 4:10pm 
Crichton Ogle
(Ohio State) 
The Milnor Question (conjecture)  N/A  
February 18
Tue, 4:10pm 
Crichton Ogle


February 25
Tue, 4:10pm 
Open


March 4
Tue, 4:10pm 
Open

N/A  
March 11
Tue, 4:10pm 
Open


March 18
Tue, 4:10pm 
Jeremiah Heller


March 25
Tue, 4:10pm 
Bertrand Guillou


April 1
Tue, 4:10pm 
Vladimir Voevodsky
(Institute for Advanced Study) 
N/A  
April 8
Tue, 4:10pm 
Open  
April 15
Tue, 4:10pm 
Ben Williams

N/A  
April 22
Thu, 4:10pm 
Open


April 29
Tue, 4:10pm 
Open

N/A 
(Joshua second Talk): There are certain other operations, distinct from the cohomology operations introduced by Voevodsky in motivic (and etale) cohomology with finite coefficients. These behave differently with respect to weights and are often called classical or simplicial operations. The talk will discuss the precise relationship between these operations and the motivic operations of Voevodsky. We will also look briefly at the source of the classical operations, which is a certain coherently homotopy commutative and associative ring structure on the motivic complex and consider some applications of this structure.
(Harper Talk I): An important theme in current work in homotopy theory is the investigation and exploitation of enriched algebraic structures on spectra that naturally arise, for instance, in algebraic topology, algebraic Ktheory, and derived algebraic geometry. Such structured ring spectra or ``geometric rings'' are most simply viewed as algebraictopological generalizations of the notion of ring from algebra and algebraic geometry. This talk will describe recent progress, in joint work with M. Ching, on an analog of QuillenSullivan theory for structured ring spectra.
(Harper Talk II): This talk will outline and motivate a proof for establishing a homotopic descent type result for the topological Quillen homology of structured ring spectra. A new intermediate result of independent interest, is higher homotopy excision for structured ring spectra, analogous to Goodwillie's higher homotopy excision results for spaces. This is joint work with Michael Ching.
(Ogle Talk I):
We discuss the original question posed by Milnor in his paper "Algebraic Ktheory and Quadratic Forms" (Inv., 1970). This first talk will be background, covering very classical material: K_1, K_2, Steinberg symbols and the Ktheory product, Milnor Ktheory, and the partial results proved by Milnor in the very early days of Algebraic Ktheory. The objective is to show how efforts to answer this question lead to the work of Voevodsky and others, which ultimately led to Voevodsky's solution of the conjecture.
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