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).
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Undergraduate Colloquium, Monday, April 28
The next colloquium will be this coming Monday, 4/28, given by Prof. Yakov Sinai. It will be at 5pm in Fine 322. He will be talking about deterministic chaos and here is the abstract: Deterministic chaos is a property of deterministic dynamics. I shall explain main properties of chaotic dynamics and give some example of […]
Course Advising Study Break on Sunday (4/21)
Come out to our extra special course advising study break in the Fine Hall common room on Sunday, April 21 at 7pm! the joke is that the pton registrar doesn’t care if you’re missing prereqs LOL Alec, I, and a variety of other cool folks will be there to answer questions like these! 1. What courses should I take in the […]
Undergraduate Colloquium:Professor Sanjeev Arora
When are how can we compute approximate solutions to NP-hard problems? Fine 214 Wenesday Nov.6th 6:00pm In the 1970s it was discovered that many computational problems in a variety of disciplines are NP-complete: they do not have efficient algorithms if P != NP, as is widely believed. This was a profound discovery. However, in practice […]