Différences

Ci-dessous, les différences entre deux révisions de la page.

--- fables [2023/04/20 21:28] – kalinin0
+++ fables [2023/05/17 11:01] – kalinin0
@@ Ligne 2: / Ligne 2: @@
 ----
+  May 22, salle 6-13, 15h
-  FABLES GEOMETRIQUES MINICOURSE, April 24-27
+**Oleg Viro (Stony Brook)**
-  **Sergey Finashin (METU Ankara)**
-  Lecture 1, Monday, April 24, 15h, room 6-13
-  Lecture 2, Tuesday, April 25, 13h, Room 1-07
+**Simplest numerical invariants for some kinds of curves**
+In the 90s, Arnold introduced several numerical characteristics of
+generic plane curves via axiomatic approach based on behavior of curves
+under "perestroikas". Soon explicit formulas for the invariants have
+been invented. The formulas have disclosed unexpected aspects of nature
+of the invariants and suggested various new objects to study, like real
+algebraic curves or circles inscribed in a generic plane curve.
+----
+**FABLES GEOMETRIQUES MINICOURSE, April 24-27**
+  Lecture 1, Monday, April 24, 15h, room 6-13
+  Lecture 2, Tuesday, April 25, 13h, Room 1-07
   Lecture 3, Thursday, April 27, 16h15, Room 1-15
+**Sergey Finashin (METU Ankara)**
 **Strong Invariants in Real Enumerative Geometry**
-Abstract: In the first lecture I will discuss a signed count of real lines on real projective hypersurfaces, which is independent of the choice of real
+In the first lecture I will discuss a signed count of real lines on real projective hypersurfaces, which is independent of the choice of real structures and in that sense is “strong invariant”. The simplest examples: a signed count of real lines on a real cubic surface gives 3, while a similar count on a real quintic 3-fold gives 15. In the other lectures I will stick to the case of real del Pezzo surfaces and discuss a generalization of the signed count of lines to a signed count of rational curves (involving some combinations of the Welschinger numbers).
-structures and in that sense is “strong invariant”. The simplest examples: a signed count of real lines on a real cubic surface gives 3, while a similar count on a real quintic 3-fold gives 15. In the other lectures I will stick to the case of real del Pezzo surfaces and discuss a generalization of the signed count of lines to a signed count of rational curves (involving some combinations of the Welschinger numbers).
 All the results are joint with V.Kharlamov.