Wednesdays, 7:30pm; Room 507, Mathematics
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ums [at] math.columbia.edu
Date | Speaker | Title | Abstract |
Jan 27 | Carl Lian | Lines in 3-space | Given four (sufficiently general) lines in 3-space, how many lines intersect all four? To answer this question, we will introduce some fundamental notions in algebraic geometry and intersection theory. We will attempt to keep the discussion as elementary as possible. |
Feb 3 | Rob Castellano |
Boundaries of manifolds and classical |
One of the first questions that one can ask is "what geometric objects are boundaries of other geometric objects?" This question turns out to be very important and, depending on the context, also interesting. This talk will go over some basic topology and introduce the field of symplectic geometry. |
Feb 10 | Anand Deopurkar | Fermat's last theorem for polynomials | Fermat's last theorem says that X^{n }+ Y^{n }= Z^{n} has no non-trivial solutions for integers X, Y, Z, if n > 2. We will prove Fermat's last theorem where "integers" is replaced by "polynomials" (in one variable). We will see many different proofs, some elementary and some more sophisticated, using ideas from algebra, topology, and algebraic geometry. |
Feb 17 | Vivek Pal | TBD (Number theory) | |
Feb 24 | James Cornish | TBD (Knot theory) | |
March 2 | Alex Zhang | TBD (Symplectic topology) | |
March 9 | Feiqi Jiang | An application of modular forms | |
March 16 | Spring break | ||
March 23 | Daniel Halpern-Leistner | The representation theory of sl_{2} | |
March 30 | Daniel Litt | TBD | |
April 6 | Pak-Hin Lee | TBD | |
April 13 | Ina Petkova | TBD | |
April 20 | Simon Brendle | TBD | |
April 27 | Karsten Gimre | TBD |