AMS meeting and video lectures on SAGE and elliptic curves

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 numbertheory.org 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?

PhD position in motivic homotopy theory

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!

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

Some Paris events in the next few months:

• Mondays from Nov 5: Lectures on multiple zeta values by Don Zagier (Collège de France)
• Nov 8-10: Workshop on the Mumford-Tate conjecture (Institut Henre Poincaré)
• Nov 10 – 12: Lectures on wall-crossing by Kontsevich and Neitzke (IHES)
• Nov 30 – Dec 2: Categories and physics (Paris 7)
• Dec 5 – 9: Model theory of difference fields and applications (Orsay)

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)

Arithmetic, motives, and moduli spaces in Paris

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

Book draft by Jardine on local homotopy theory

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.

Temporary lecturer positions in number theory, Nottingham

Two positions open in Nottingham, 10-month contracts starting in Sep 2011, good pay. “Preference may be given to candidates whose research complements that of the School’s number theory group.” For more details, please get in touch with Ivan Fesenko.

Postdoc opportunities in Milano, deadline early July

The University of Milan has a general call for postdoc applications here. Within mathematics, they welcome applications within the following general subject areas (see pages 9 and 10 of the huge pdf file):

• Arithmetic on local and global fields, a topic suggested by Fabrizio Andreatta.
• Geometry and moduli of algebraic varieties (Bert van Geemen)
• Analysis and geometry on CR and Riemannian manifolds (Marco Maria Peloso)
• Categorical algebra for applications in (non-abelian) homological and universal algebra (Sandra Mantovani)

Positions can be held for up to 4 years. The deadline is 6 July 2011, and applications must be submitted by post.

Early Bourbaki seminars now freely available

Until quite recently, the first 10 volumes of the Bourbaki seminars were under subscriber-access only at NUMDAM, but now they are freely available! These 10 volumes cover the years 1948-1968 and hence contain many gems from the early days of scheme theory and the development of cohomological tools in algebraic geometry.

Summer school: Roadmap to cohomology theories

Summer school in Brixen, Italy, 11-18 Sep 2011. Subjects covered include motivic homotopy theory, motivic cohomology,Weil cohomology theories, Bloch-Ogus cohomology theories, Hodge theory, stable homotopy theory, formal group laws, elliptic cohomology, complex and algebraic cobordism, and sharp cohomology. Summer school webpage.

Motivic conferences in 2011

In addition to the already mentioned conference in Mainz, here are some other events of possible interest:

• Multiple zeta values, Modular forms, and Elliptic motives (Bristol, 3-6 May)
• Summer school on Motives and the Milnor conjecture (Paris, 9-17 June)
• Summer school on Rigidity and the Friedlander-Milnor conjecture (Regensburg, 1-5 Aug)
• Géométrie arithmétique et motivique (Luminy, 19-23 Sep)