Singularities of differentiable maps and Thom polynomials
- Date
- May 22 (Fri) 15:00 - 17:30, 2026 (JST)
- Speaker
-
- Masato Tanabe (Special Postdoctoral Researcher, Division of Fundamental Mathematical Science, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS))
- Venue
- Language
- English
- Host
- Zhe Wang
Singularities are locations where something is exceptional. In particular, singularities of differentiable maps are mathematical concepts corresponding to stationary points of functions and apparent contours of surfaces under projection onto the retina. These are unavoidable in general, but important to study the shape of spaces and behavior of maps. The theory for them was initiated by R. Thom in 1950's, and have been deeply studied by many researchers.
In this talk, I would like to ...
- show guiding examples of singularities to make you familiar with them;
- share basic motivation of singularity theory of differentiable maps;
- introduce Thom polynomials, a tool to build a bridge between counting singularities and topological invariants of spaces and maps.
If time permits, I would also like to talk about a relative version of Thom polynomials, which is my recent interest.
This is a closed event for scientists. Non-scientists are not allowed to attend. If you are not a member or related person and would like to attend, please contact us using the inquiry form. Please note that the event organizer or speaker must authorize your request to attend.