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).
Who? Professor Charles Fefferman What? Quantitative Differentiation When? Thursday, February 21 at 4:30 Where? Fine Room TBA Food? Sushi Abstract: Let f(x) be a Lipschitz continuous function on R^n. By a standard theorem of real analysis, f is differentiable at almost every point x0. Under a powerful microscope, the graph of f near such a […]
Come Meet Professor Dunham, visiting professor and author of Journey Through Genius, this Thursday at 6 in the Butler Private Dining Room! Sign up for “Meet Your Professor Dinner” here: https://wass.princeton.edu/pages/viewcalendar.page.php?makeapp=1&cal_id=1720 William Dunham is visiting Princeton this semester and teaching a Freshman Seminar titled “The Great Theorems of Mathematics.” He is a historian of mathematics who has spoken […]
Hey Nullset! You totally missed me, riiiight? =) Well missed me or not, here I am, and proud to announce the next (Board) Game Night. Are you excited? I’m excited. If you’re not, you’re silly. Start being excited. Anyways, the next (B)GN will be… drumroll please… When: Friday, October 4th at 9 pm Where: Fine […]