Seminar information archive ~03/24Next seminarFuture seminars 03/25~

Organizer(s) KATO Akishi, KITAYAMA Takahiro, MITAKE Yoshihiro, TSUJI Takeshi (chair)


17:00-18:00   Room #123 (Graduate School of Math. Sci. Bldg.)
D. Eisenbud (Univ. of California, Berkeley)
Plato's Cave: what we still don't know about generic projections
[ Abstract ]
Riemann Surfaces were first studied algebraically by first projecting them into the complex projective plan; later the same idea was applied to surfaces and higher dimensional varieties, projecting them to hypersurfaces. How much damage is done in this process? For example, what can the fibers of a generic linear projection look like? This is pretty easy for smooth curves and surfaces (though there are still open questions), not so easy in the higher-dimensional case. I'll explain some of what's known, including recent work of mine with Roya Beheshti, Joe Harris, and Craig Huneke.