# Sergei Yakovenko's blog: on Math and Teaching

## Tuesday, March 28, 2017

Filed under: conference,schedule — Sergei Yakovenko @ 5:22
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# Galois Meets Newton: Algebraic and Geometric aspects of Singularity Theory

## Celebrating the 70th birthday of Prof. Askold Khovanskii

A terrific conference will be held in the Weizmann Institute in July 3-7, 2017. For details go to the conference site and register there if you plan to attend the event.

# 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.

Slides from this talk are now available (static pdf, $\approx$2 Mb) for everybody to see.