# An introduction to Singularity Theory

### דמיטרי קרנר

*יום שלישי, 15 ביוני, 2021,
16:10 – 17:30*,
**חדר 112 בניין 32 (וגם ברשת)**

**אנא שימו לב לשינוי במקום!**

**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**)