Sergei Yakovenko's blog: on Math and Teaching

Wednesday, February 10, 2016

Analgebraic geometry: talk, minicourse and survey paper

Analgebraic Geometry

It so happened that at the beginning of 2016 I gave a talk on the conference “Geometric aspects of modern dynamics” in Porto, delivered a minicourse at Journées Louis Antoine in Rennes and wrote an expository paper for the European Mathematical Society Newsletter, all devoted to the same subject. The subject, provisionally dubbed as “Analgebraic geometry”, deals with algebraic-like properties (especially from the point of view of intersection theory) of real and complex analytic varieties defined by ordinary and Pfaffian differential equations with polynomial right hand sides. Thus

analgebraic = un-algebraic + analytic + algebraic (background) + weak algebraicity-like properties.

It turns out that this analgebraic geometry has very intimate connections with classical problems like Hilbert 16th problem, properties of periods of algebraic varieties, analytic number theory and arithmetic geometry.

For more details see the presentation prepared for the minicourse (or the shorter version of the talk) and the draft of the paper.

Any remarks and comments will be highly appreciated.

P.S. Video records (in French) are available from this page.

Thursday, January 17, 2008

Andrei Gabrielov @ W.I.S. – 2nd seminar

Filed under: research seminar — Sergei Yakovenko @ 5:23
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Andrei will continue his story on complexity of various classes of problems in tame (e.g., semialgebraic) geometry.

Venue: Room 261,

Tuesday, January 22, 2008, 

14:00-16:00 (the ordinary time for the seminar).

Wednesday, January 9, 2008

Andrei Gabrielov @ W.I.S.

Filed under: lecture,research seminar — Sergei Yakovenko @ 10:52
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Mini-programme on real analytic/algebraic/o-minimal geometry

Andrei Gabrielov (Purdue U.) is visiting us for a month (until February 8). Among other things, he will explain his recent work with N. Vorobjov on topology of o-minimal sets via approximation.

The exposition, split into several lectures, will serve also as an initiation to the field of semianalytic/subanalitic geometry, accessible to newcomers.

Recommended reading:

  1. E. Bierstone & P. Milman, Semianalytic and subanalytic sets.

The first meeting:

Tuesday, January 15, 2008, 16:00-18:00 (note the unusual time), Room 261 (unless suddenly changed).

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