연사: 최재유 박사(고등과학원)
일시:2007년 10월 10일, 16:00-17:15
장소: 자연과학동 2411호
제목: Donaldson theory and Moduli of sheaves in Algebraic Geometry
초록: In this seminar, I would like to explain two interrelated theories, Donaldson theory (abbr. DT) and Moduli of sheaves in AG (abbr. AG); perhaps one more theory, Moduli of represenations in Representation Theory (abbr. RT), if time permits. The relation between DT and AG is called Kobayashi-Hitchin correspondence while the one between AG (or DT) and RT is Riemann-Hilbert correspondence. The moduli problems of DT and AG are realized as the moduli spaces of Yang-Mills connections and the moduli schemes of coherent sheaves, both of which are endowed with canonical analytic structures. I will present some technicalities inside their constructions, the correspondence and properties including local algebraic-analytic structures.