The graph of a curve is a familiar construction in the real plane; the analogous construction for complex valued functions of a complex variable is a “curve” that is a 2-dimensional set in a 4-dimensional space. Such curves, aside from a few singularities, locally look just like pieces of the complex plane, so it is possible to carry out complex analysis on such “curves”, just as for the complex plane; but the global geometry introduces a rich and fascinating structure on these sets, called Riemann surfaces (following the work of B. Riemann).
THE NASH PROBLEM FOR ARC SPACES Wednesday Oct 2nd Fine 214 6:00 pm Abstract: In a 1968 preprint, John Nash asked some very interesting questions about the family of all arcs on algebraic or analytic surfaces and hypersurfaces. I illustrate … Continue reading →
[Email from Alice Lin] Hello my keen beans! I hope you’re free next Thursday 3/7 at 6 pm–Professor Tadashi Tokieda from Stanford will be talking about math for a general audience, and I’m sure that it will be not only … Continue reading →
Hello, math clubbers! Well, I should really say Mentoring Möbius participants. I hope you’ve had a great fall semester! We’ll be having a general reorientation meeting for Mentoring Möbius next Thursday, February 27th at 8:00pm in the Fine common room. If you haven’t met with your group yet, … Continue reading →