פעילויות השבוע
Arithmetic applications of o-minimality
אשנב למתמטיקה
An introduction to Singularity Theory
יוני 15, 16:10—17:30, 2021, חדר 112 בניין 32 (וגם ברשת)
מרצה
דמיטרי קרנר
תקציר
Singularity Theory has originated (at the end of 19‘th century) with the two basic questions:
- how does the graph of a function look locally?
- how does the zero set of a function look locally?
If the first derivative of a function does not vanish at a point then one can change the local coordinates to linearize the functions. Geometrically one ”rectifies“ the graph/the zero set. Accordingly the local geometry/topology/algebra are trivialized. The situation becomes much more involved when the first derivative vanishes. I will consider several simple (though non-trivial) examples, showing how the algebra/geometry/topology are involved.
(ההרצאה תתקיים בעברית)
Jerusalem - Be'er Sheva Algebraic Geometry Seminar
Anabelian representations of the motivic Galois group
יוני 16, 15:00—16:30, 2021,
מרצה
Joseph Ayoub (University of Zurich)
תקציר
I will report on recent work concerning the action of the motivic Galois group on Anabelian objects such as fundamental groups of algebraic varieties conveniently completed. I‘ll sketch the proof of a motivic analog of a theorem of Pop (aka., the Ihara-Matsumoto-Oda conjecture) yielding several interpretations of the motivic Galois group as the automorphism group of some large diagrams of anabelian objects.