Home » Articles posted by Alenia Reynoso Added on August 21, 2019 by Alenia ReynosoA memorial conference for Patrick Ximenes Gallagher http://www.math.columbia.edu/~goldfeld/JointNTS.html will be held on Thursday, October 10. It will be followed by a banquet in the Auditorium of Earl Hall at 7pm. We welcome all to gather and commemorate his life and work. To register for the banquet please email Alenia Reynoso at reynoso@math.columbia.edu by Wednesday, September 25, 2019.
Patrick Gallagher (1935 – 2019) taught at Columbia University until the end of 2017. He was beloved by his former students and many others.
Print this pageAdded on May 22, 2019 by Alenia ReynosoThis workshop will present recent developments on free Boundary Problems. For more information please visit the link below.
http://www.kinet.umd.edu/content/conf?event_id=843
Organizers: Daniela De Silva, Nestor Guillen, Ovidiu Savin, and Hui Yu.
May 23 and May 24, 2019
Mathematics Hall, Room 312
*Registration is required
Print this pageAdded on May 01, 2019 by Alenia ReynosoThe spring 2019 Ritt Lectures, by Professor Laure Saint Raymond, will take place on Wednesday, May 8 and Thursday, May 9, 2019 from 4:30 – 5:30pm in Rm 417. Professor Laure Saint Raymond (École Normale Supérieure de Lyon), will deliver a two talk series titled:
1. Disorder Increases Almost Surely
Consider a system of small hard spheres, which are initially (almost) independent and identically distributed. Then, in the low density limit, their empirical measure$\frac1N \sum_{i=1}^N \delta_{x_i(t), v_i(t)}$converges almost surely to a non reversible dynamics. Where is the missing information to go backwards?
2. The Structure of Correlations
Although the distribution of hard spheres remains essentially chaotic in this regime, collisions give birth to small correlations. The structure of these dynamical correlations is amazing, going through all scales. How can combinatorial techniques help analyze this departure from chaos?
Tea will be served at 4 pm in 508 Mathematics.
Print this pageAdded on April 17, 2019 by Alenia ReynosoPlease congratulate Professor Michael Harris, who was recently elected as a member of the American Academy of Arts & Sciences!
Professor Michael Harris joins a distinguished list of scholars and thinkers from a variety of fields and disciplines. As posted on the Academy’s website:
“The Academy membership encompasses over 4,600 Fellows and 600 Foreign Honorary Members and reflects the full range of disciplines and professions: mathematics, the physical and biological sciences, medicine, the social sciences and humanities, business, government, public affairs, and the arts. Among the Academy’s Fellows are more than 250 Nobel laureates and 60 Pulitzer Prize winners.”
For a complete list of the 2019 members, including Professor Michael Harris, please visit:
https://www.amacad.org/content/members/newFellows.aspx?s=c
Print this pageAdded on April 11, 2019 by Alenia ReynosoTitle: (Higher) Teichmüller Spaces and Beyond
Abstract:
The Teichmüller space of a surface parametrizes (marked) conformal structures. It covers the moduli space of Riemann surfaces and carries many interesting structures in its own right. Higher Teichmüller spaces are generalizations of Teichmüller space in the context of Lie groups of higher rank such as SL(n,R).
They are related to Higgs bundles, bounded cohomology, dynamics, as well as cluster algebras or total positivity. The talk will provide an introduction to higher Teichmüller spaces and showcase some of the connections.
Wednesday, April 24, 4:30 – 5:30 p.m.
Mathematics 520
Tea will be served at 4:00 p.m.
Print this pageAdded on March 27, 2019 by Alenia ReynosoSpring 2019 Kolchin Lecture
Come join us on Wednesday, April 3, 2019 between 4:30 – 5:30pm in Rm 520, Professor Lars Hesselholt (Nagoya University & University of Copenhagen) will be giving a special lecture titled Higher Algebra and Arithmetic.
ABSTRACT
The natural numbers record only the result of counting and not the process of counting. As algebra is rooted in the natural numbers, the higher algebra of Joyal and Lurie is rooted in a more basic notion of number which also records the process of counting. Long advocated by Waldhausen, the arithmetic of these more basic numbers should eliminate denominators. Notable manifestations of this vision include the BökstedtHsiangMadsen topological cyclic homology, which receives a denominatorfree Chern character, and the related BhattMorrowScholze integral padic Hodge theory, which makes it possible to exploit torsion cohomology classes in arithmetic geometry.
Moreover, for schemes smooth and proper over a finite field, the analogue of de Rham cohomology in this setting naturally gives rise to a cohomological interpretation of the HasseWeil zeta function by regularized determinants, as envisioned by Deninger.
Tea will be served at 4 pm in 508 Mathematics.
*Kolchin Lecture Flyer*
Time & Location
Wednesday, April 3, 2019 between 4:30 – 5:30 pm in Rm 520
Print this pageAdded on February 26, 2019 by Alenia ReynosoThe Mathematics Department runs a 10 week summer research program, aimed at rising junior and senior undergraduate math majors. Students participating in the program work closely with faculty members and graduate students in a small group setting.
Accepting applications through Friday, March 8, 2019
May 28 – August 1, 2019
For more information please visit;
www.math.columbia.edu/reu
Print this pageAdded on February 07, 2019 by Alenia ReynosoSpecial Seminar
Come join us Monday, February 11, 2019 at 4:30 pm in RM 507, Professor Jason Miller (University of Cambridge) will be giving a special lecture about “Liouville Quantum Gravity As a Metric Space and a Scaling Limit”.
Abstract
Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has its roots in string theory and conformal field theory from the 1980s and 1990s. The second is the Brownian map, which has its roots in planar map combinatorics from the 1960s together with recent scaling limit results. We will describe work with Sheffield in which it is shown that Liouville quantum gravity (LQG) with parameter $\gamma=\sqrt{8/3}$ is equivalent to the Brownian map and work with Gwynne which use the $\sqrt{8/3}$LQG metric to prove the convergence of selfavoiding walks and percolation on random planar maps towards SLE(8/3) and SLE(6), respectively, on a Brownian surface.
Print this pageAdded on February 04, 2019 by Alenia ReynosoSpecial Seminar
Come join us Wednesday, February 6, 2019 at 4:30 pm in RM 507, Professor Nina Holden (ETH, Zürich) will be giving a special lecture about “Cardy Embedding of Random Planar Maps”.
Abstract
A random planar map is a canonical model for a discrete random surface which is studied in probability, combinatorics, mathematical physics, and geometry. Liouville quantum gravity is a canonical model for a random 2d Riemannian manifold with roots in the physics literature. In joint work with Xin Sun, we prove a strong relationship between these two natural models for random surfaces. Namely, we prove that the random planar map converges in the scaling limit to Liouville quantum gravity under a discrete conformal embedding which we call the Cardy embedding.
Print this pageAdded on January 30, 2019 by Alenia ReynosoSpecial Seminar
Come join us Monday, February 4, 2019 at 4:30 pm in RM 507, Professor Jérémie Szeftel (Université Pierre et Marie Curie) will be giving a special lecture about “On the Black Hole Stability Problem”.
Abstract
I will introduce the celebrated Kerr black hole stability problem, which asks whether metrics of the Kerr family are stable as solutions to the Einstein vacuum equations of general relativity. I will then focus on recent progress obtained in my joint work with Sergiu Klainerman.
Mathematics Hall, Room 507
Monday, February 4, 2019 at 4:30 pm
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