The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)
The Institute of the Mathematical Sciences of the Americas (IMSA-Miami)


Joint ICMS & IMSA Seminar

March 11, 2022,
09:30 AM Eastern Time (US and Canada)

Hosted by IMSA-Miami, via Zoom

Kyoung-Seog Lee

IMSA and University of Miami

Higgs bundles on elliptic surfaces and logarithmic transformations

Logarithmic transformation is an important operation introduced by Kodaira in the 1960s. One can obtain an elliptic surface with multiple fibers by performing logarithmic transformations on an elliptic surface without multiple fibers. On the other hand, vector bundles on elliptic surfaces are important objects in many branches of mathematics, e.g., algebraic geometry, gauge theory, mathematical physics, etc. In this talk, I will discuss how certain Higgs bundles on elliptic surfaces are changed via logarithmic transformations. This talk is based on a joint work with Ludmil Katzarkov.

Тhe lectures will be held via Zoom.