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FMSP Lectures
Seminar information archive ～05/23｜Next seminar｜Future seminars 05/24～
2015/09/10
15:30-16:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Zhi Chen (Hefei University of Technology)
Lifting of maps between surfaces (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_ZhiChen.pdf
Zhi Chen (Hefei University of Technology)
Lifting of maps between surfaces (ENGLISH)
[ Abstract ]
The Thom conjecture says the algebraic curves have minimal genus among those surfaces Imbedded in CP^2 having fixed degree. This conjecture was solved by Kronheimer and Mrowka by using Seiberg-Witten invariants. In this talk we try to understand the content of this conjecture. We will construct these imbedded surface with minimal genus explicitly, and present some kind of generalization of this conjecture.
[ Reference URL ]The Thom conjecture says the algebraic curves have minimal genus among those surfaces Imbedded in CP^2 having fixed degree. This conjecture was solved by Kronheimer and Mrowka by using Seiberg-Witten invariants. In this talk we try to understand the content of this conjecture. We will construct these imbedded surface with minimal genus explicitly, and present some kind of generalization of this conjecture.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_ZhiChen.pdf
