Search Clay Mathematics Institute

  • About
    About
    • About
    • History
    • Principal Activities
    • Who’s Who
    • CMI Logo
    • Policies
  • Programs & Awards
    Programs & Awards
    • Programs & Awards
    • Funded programs
    • Fellowship Nominations
    • Clay Research Award
    • Dissemination Award
  • People
  • The Millennium Prize Problems
    The Millennium Prize Problems
    • The Millennium Prize Problems
    • Birch and Swinnerton-Dyer Conjecture
    • Hodge Conjecture
    • Navier-Stokes Equation
    • P vs NP
    • Poincaré Conjecture
    • Riemann Hypothesis
    • Yang-Mills & the Mass Gap
    • Rules for the Millennium Prize Problems
  • Online resources
    Online resources
    • Online resources
    • Books
    • Video Library
    • Lecture notes
    • Collections
      Collections
      • Collections
      • Euclid’s Elements
      • Ada Lovelace’s Mathematical Papers
      • Collected Works of James G. Arthur
      • Klein Protokolle
      • Notes of the talks at the I.M.Gelfand Seminar
      • Quillen Notebooks
      • Riemann’s 1859 Manuscript
  • Events
  • News

Home — Events — K-theory, Algebraic Cycles and Motivic Homotopy Theory Workshop

K-theory, Algebraic Cycles and Motivic Homotopy Theory Workshop

Date: 13 - 17 June 2022

Location: Isaac Newton Institute for Mathematical Sciences

Event type: Workshop

Organisers: Rob de Jeu (VU Amsterdam), Aravind Asok (USC), Charles Doran (Alberta), Roy Joshua (Ohio State), March Levine (Duisburg-Essen), James D. Lewis (Alberta), Ursula Whitcher (MIchigan and AMS)

Website: www.newton.ac.uk/event/ka2w01

The programme will focus on the areas of Algebraic K-theory, Algebraic Cycles and Motivic Homotopy Theory. These are fields at the heart of studying algebraic varieties from a cohomological point of view, which have applications to several other fields like Arithmetic Geometry, Hodge theory and Mathematical Physics.

It was in the 1960s that Grothendieck first observed that the various cohomology theories for algebraic varieties shared common properties, which led him to explain the underlying kinship of such cohomology theories in terms of a universal motivic cohomology theory of algebraic varieties. The theory of Algebraic Cycles, Higher Algebraic K-theory, and Motivic Homotopy Theory are modern versions of Grothendieck’s legacy. In recent years it has seen some spectacular developments, on which we want to build further.

The programme will also specifically explore the connections between the following areas:

  • Algebraic K-theory, Motivic Cohomology, and Motivic Homotopy Theory;
  • Hodge theory, Periods, Regulators, and Arithmetic Geometry;
  • Mathematical Physics.

Professor Phillip Griffiths (IAS and Miami) will give the Clay Lecture at this event.

CMI Enhancement and Partnership Program

Downloads

Griffiths lecture notes
Share

Related events

See all events
default event image
11 - 19 September 2025

10th Nairobi Workshop in Algebraic Geometry

University of Nairobi

Read more
28 July - 1 August 2025

Beyond the Horizon: Navigating Turbulence, Irregularity, and Stochasticity in Fluid Dynamics

ICMS Edinburgh

Read more
16 - 20 June 2025

Geometric Problems in Linear and Nonlinear PDEs

Sabhal Mor Ostaig, the Isle of Skye

Read more
19 - 23 May 2025

Geometric Moduli Spaces – Rigidity, Genericity, Stability

ICMS Edinburgh

Read more
See all events
  • Privacy Policy
  • Contact CMI

© 2025 Clay Mathematics Institute

Site by One