Motivic stuff

Cohomology, homotopy theory, and arithmetic geometry

Video lectures on Fundamental groups, non-abelian cohomology, and diophantine geometry, by Minhyong Kim

Posted by Andreas Holmstrom on June 6, 2012

These lectures were delivered in February 2012 at IHES.

Some of the same content can be found in documents on Kim’s webpage, under Expository Essays.

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London workshop on arithmetic geometry and homotopy theory

Posted by Andreas Holmstrom on May 8, 2012

At Imperial College London, from May 30th to June 1st. Many interesting talks, but the main theme appears to be the recent work of Harpaz and Schlank in which they use etale homotopy theory to study rational points and in particular obstructions to the local-global principle. Their big preprint is available here.

Related to this theme there is also a longer summer course in Lausanne in July/August with lectures by Harpaz and Schlank, as part of the of the EPFL program on rational points and algebraic cycles.

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Postdoc position in Milano

Posted by Andreas Holmstrom on January 24, 2012

From an email by Luca Barbieri-Viale:

There are post-doc positions “assegno di ricerca” here in Milano for 2 years (up to 4 after renewal). The best research projects among several subjects will be selected. One subject is “Arithmetic geometry, motives and homotopy theory of schemes”. Description: “Comparison theorems for cohomology theories. Motivic cohomology and its applications in arithmetic geometry. Galois representations, modular forms and families. Applications to the study of varieties and motives over local and global fields.”

Deadline for application February 15, 2012.
See this web page for more info and how to apply.

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Polymath in a TED talk

Posted by Andreas Holmstrom on November 22, 2011

Michael Nielsen’s TED talk Open Science Now! from earlier this year was recently posted on the TED site. For people already interested in these things it doesn’t contain any surprises, but the ideas are certainly worth spreading, and the Polymath project features as the opening story 🙂

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Lecture notes on perfectoid spaces

Posted by Andreas Holmstrom on November 11, 2011

Today Peter Scholze finished his IHES lecture series on perfectoid spaces and the weight-monodromy conjecture. The complete lecture notes are now available on his webpage, and video will probably become available here.

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AMS meeting and video lectures on SAGE and elliptic curves

Posted by Andreas Holmstrom on November 11, 2011

Trying to move (temporarily) from the abstract world of stable motivic homotopy theory, I have signed up for the SAGE course at the upcoming AMS meeting in Boston. As preparation for this, I found some video lectures from MSRI (thanks to the rss feed), giving an introduction to computing with elliptic curves in SAGE.

Among many other things, the AMS meeting also offers a healthy dose of homotopy theory, some lectures of Harpaz and/or Schlank on their remarkable paper on etale homotopy theory and rational points on varieties, and a special session with the amazing title Generalized Cohomology Theories in Engineering Practice. Maybe there will also be a MathOverflow meetup?

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PhD position in motivic homotopy theory

Posted by Andreas Holmstrom on October 26, 2011

An excellent opportunity to work as a PhD student with Vladimir Guletskii in Liverpool, on motivic homotopy theory and motivic zeta functions. Some more details on the precise idea of the project can be found here, and some related preprints by Guletskii are here. The application deadline has now been changed to 31st May 2012 – see the comment of Vladimir below!

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Paris events: Wall-crossing, model theory, multiple zeta values, and more

Posted by Andreas Holmstrom on October 17, 2011

Some Paris events in the next few months:

There are also various activities related to the IHP trimester on conformal field theory.

Next year: June 25 – 29, 2012: From algebraic geometry to automorphic forms (in honour of Laumon)

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Arithmetic, motives, and moduli spaces in Paris

Posted by Andreas Holmstrom on September 27, 2011

Upcoming conference: 9-13 January 2012: Arithmetic, motives and moduli spaces. At IHP, in central Paris.

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Book draft by Jardine on local homotopy theory

Posted by Andreas Holmstrom on September 15, 2011

Rick Jardine recently posted a draft on his webpage for a book on local homotopy theory. He writes: “This a partial, rough manuscript for a monograph, which is tentatively to be published by Springer-Verlag. The book is meant to be a basic account of the homotopy theories of simplicial sheaves and presheaves, and the stable homotopy theory of presheaves of spectra. Selected applications are included.” The pdf file is available here.

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