Homotopy Theory and Arithmetic Geometry: Motivic and Diophantine Aspects

nt.number-theory at.algebraic-topology ag.algebraic-geometry
Start Date
2018-07-09 
End Date
2018-07-13 
Institution
Imperial College, London 
City
London 
Country
UK 
Meeting Type
summer school 
Homepage
http://claymath.org/events/homotopy-theory-and-arithmetic-geometry-motivic-and-diophantine-aspects 
Contact Name
 

Description

The focus of this research school is on three major advances that have emerged lately in the interface between homotopy theory and arithemic: cohomological methods in intersection theory, with emphasis on motivic sheaves; homotopical obstruction theory for rational points and zero cycles; and arithmetic curve counts using motivic homotopy theory. The emergence of homotopical methods in arithmetic represents one of the most important and exciting trends in number theory, and the lectures will give a gentle introduction to this highly technical area.

The three main lecture course topics are:

Cohomological methods in intersection theory Lecturer: Denis-Charles Cisinski (Regensburg) Assistant: Chris Lazda (Amsterdam)

Homotopical manifestations of rational points and algebraic cycles Lecturer: Tomer Schlank (HUJ) Assistant: Ambrus Pal (Imperial)

Arithmetic enrichments of curve counts Lecturer: Kirsten Wickelgren (Georgia Tech) Assistant: Frank Neumann (Leicester)

The lecture courses will be supplemented by tutorial sessions and guest lectures by Paul Arne Østvær (Oslo), Jon Pridham (Edinburgh) and Vesna Stojanovska (Illinois at Urbana-Champaign)

Problems?

If you notice a problem with this entry, please contact the curators by email.