Home » Articles posted by Deniz Macleod Added on March 15, 2017 by Deniz MacleodThe spring 2017 Ritt Lectures, by Prof. William Minicozzi, will take place on Monday March 27 , and Tuesday, March 28. Prof. Minicozzi (Massachusetts Institute of Technology), will deliver a two talk series titled:
“Level set method for motion by mean curvature”
Modeling of a wide class of physical phenomena, such as crystal growth and flame propagation, leads to tracking fronts moving with curvaturedependent speed. When the speed is the curvature this leads to a degenerate elliptic nonlinear pde. A priori solutions are only defined in a weak sense, but it turns out that they are always twice differentiable classical solutions. This result is optimal; their second derivative is continuous only in very rigid situations that have a simple geometric interpretation. The proof weaves together analysis and geometry. This is joint work with Toby Colding.
Monday & Tuesday, March 27 & 28, 2017 at 4:30 pm
520 Mathematics Hall, 2990 Broadway at 117th Street
Tea will be served at 4 pm in 508 Mathematics
Print this pageAdded on January 30, 2017 by Deniz MacleodThe spring 2017 iteration of the Ellis R. Kolchin Memorial Lecture will be delivered by Prof. Dennis Gaitsgory (Harvard) on Friday, February 17th, 2017. Prof. Gaitsgory will give the following lecture:
“The Tamagawa number formula over function fields”
Let X be a curve over a finite field and let G be a semisimple algebraic group. The Tamagawa number formula can be interpreted as saying that the number of isomorphism classes of Gbundles on X (each counted with the multiplicity equal to 1/{order of the group of automorphisms}) equals the Euler product where each closed point x of X contributes 1/G(k_x), where k_x is the residue field at x. We will deduce this equality from interpreting the cohomology of the moduli space Bun_G of Gbundles on X as a ‘continuous tensor product’ (technically, chiral homology) of copies of the cohomology of the classifying space BG of G along X. The latter identification of H^*(Bun_G) makes sense over an arbitrary ground field k, and when k is the field of complex numbers, it amounts to the AtiyahBott formula. We will give an algebrogeometric proof by first relating H^*(Bun_G) to the cohomology of the affine Grassmannian, and then performing a fancy version of Koszul/Verdier duality. This is joint work with Jacob Lurie.
Friday, February 17, 2017 at 5 pm
203 Mathematics Hall
Print this pageAdded on December 01, 2016 by Deniz MacleodThe fall 2016 Ritt Lectures, by Prof. Zhiwei Yun, will take place December 15 & 16. Prof. Yun (Yale University), will deliver a two talk series titled:
“Geometry in orbital integrals and beyond”
Abstract: In the first lecture, I will give an overview of geometric
methods involved in computing important quantities in the theory of
automorphic forms, namely orbital integrals. I will mention
applications to various versions of the fundamental lemma. In the
second lecture, I will talk about my joint work with Wei Zhang on
generalizing the GrossZagier and Waldspurger formulae to higher
derivatives of Lfunctions for function fields, whose proof relies on
extending the geometric ideas mentioned in the first talk.
Thursday, December 15, 2016 at 5:30 pm in 312 Mathematics Hall
Friday, December 16, 2016 at 4:30 pm in 417 Mathematics Hall
Print this pageAdded on November 16, 2016 by Deniz MacleodDusa McDuff, together with her coauthor Dietmar Salamon, will receive the 2017 AMS Steele Prize for Exposition. They are honored for their book “JHolomorphic Curves and Symplectic Topology”.
McDuff and Salamon’s book Jholomorphic Curves and Symplectic Topology is a comprehensive introduction to Gromov’s theory of Jholomorphic curves. It not only develops the topic from the basics, explaining essential notions and results in detail, but also describes many of the most spectacular results in this area. McDuff and Salamon wrote the book at the same time they themselves were making contributions at the forefront of the field. They spent nearly a decade assembling the foundations of the subject into this mammoth 700page book. The prize citation says, “[The book] has since served as the most standard and undisputed reference in the field and as the main textbook for graduate students and others entering the field.”
Born in London, Dusa McDuff received her PhD from Cambridge University (1971). After holding positions at York, Warwick, and Stony Brook universities, she is currently Helen Lyttle Kimmel ’42 Professor of Mathematics at Barnard College, Columbia University. In 1991, she received the AMS Ruth Lyttle Satter Prize. She gave a plenary address at the International Congress of Mathematicians (1998), the Noether Lecture of the Association for Women in Mathematics (1998), and the AMS Colloquium Lectures (2014). She was elected a Fellow of the Royal Society of London (1994), a member of the US Academy of Sciences (1999), and a member of the American Philosophical Society (2013).
For more information, please visit AMS
Print this pageAdded on May 02, 2016 by Deniz MacleodCongratulations to Professor Dusa McDuff, who was selected Doctor Honoris Causa by Pierre and Marie Curie University and received an Honorary Doctor of Science from the University of Warwick in recognition of the significant contributions that she has made and continues to make in field of mathematics.
Print this pageAdded on April 18, 2016 by Deniz MacleodThe spring 2016 Ritt Lectures, by Prof. Umberto Zannier, will take place May 3& 4. Prof. Umberto Zannier will deliver a two talk series titled:
“Integration in finite terms for families of algebraic differentials”
Abstract: We shall be concerned with “integration in elementary terms,” an issue with old origins which in part motivated differential Galois theory and also quite interested Abel, Chebyshev, Liouville, Ritt,…
We shall confine ourselves to algebraic differentials; with the help of a criterion of Liouville their integrability can be linked to torsion points on abelian varieties.
In joint work with David Masser we have considered pencils of algebraic differentials on a curve, and the problem of whether specialization of the parameter may transform a differential which is nonintegrable (in elementary terms) into an integrable one. I plan to describe a finiteness theorem in this direction and illustrate some different aspects of the proofs.
Tuesday, May 3 and Wednesday, May 4, 2016 at 3 pm
312 Mathematics Hall
Print this pageAdded on April 18, 2016 by Deniz MacleodThe spring 2016 iteration of the Ellis R. Kolchin Memorial Lecture will be delivered by Prof. Raphaël Rouquier (University of California, Los Angeles) on Tuesday, April 26rd. Prof. Raphaël Rouquier will give the following lecture:
“Algebra in the fourth dimension”
I will discuss higher representation theory, where symmetries of symmetries
appear. This provides a new paradigm for (geometric) representation theory,
and should express features of topology in dimension 4.
Tuesday, April 26, 2016 at 3 pm
417 Mathematics Hall
Tea will be served at 4:00 pm in 508 Mathematics Hall
2990 Broadway at 117th Street
Print this pageAdded on March 30, 2016 by Deniz MacleodOn Friday, April 8, 2016, the annual ColumbiaPrinceton Probability Day conference will take place in Columbia University’s Mathematics Building Room 203.
Confirmed Speakers
 Guillaume Barraquand (Columbia)
 Rick Kenyon (Brown)
 Joel Lebowitz (Rutgers)
 Hao Shen (Columbia)
 Allan Sly (Berkeley)
 Peter Winkler (Dartmouth)
For more information regarding the talks, please VISIT THIS LINK.
Print this pageAdded on March 16, 2016 by Deniz MacleodThe spring 2016 Minerva Foundation Lectures will take place on March 21March 23.
For more information, please visit Minerva Foundation Lectures
Print this pageAdded on February 29, 2016 by Deniz Macleod
This program will be a concentration period to include a school and a conference on “Calculus of Variations and Nonlinear Partial Differential Equations” which will bring together research groups from the NSF funded program Focused Research Group (FRG): “Vectorial and geometric problems in the Calculus of Variations” with collaborative structures between Craig Evans, UC Berkeley, Ovidiu Savin, Columbia U, and Alessio Figalli with Francesco Maggi at UT Austin.
The entire twoweek program will take place at Columbia University from May 16, 2016 until May 27, 2016 and will involve senior and junior researchers, postdocs and graduate students. During the first week, there will be a school consisting of four minicourses, each five lectures, while the second week will host a conference with a series of onehour lectures.
Financial support for graduate students/early postdocs is available. Please register below and specify in the comment section whether you plan to attend the school and/or the conference. The deadline for the application is March 31st 2016.
ORGANIZERS
Ovidiu Savin and Daniela De Silva, Columbia U
For more information please visit Calculus of Variations and Nonlinear Partial Differential Equations
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