Home » Articles posted by Alenia Reynoso (Page 3) Added on January 10, 2023 by Alenia ReynosoSpecial Seminar
Come join us on Friday, January 20, 2023 at 10:30am in room 520, Professor Kyle Hayden (Rutgers University-Newark) will be giving a special lecture titled “Surfaces and 4-manifolds“.
Abstract: The topology of smooth manifolds is governed largely by geometry in low dimensions and by algebraic topology in high dimensions. The phase transition occurs in dimension four, where continuous and differential topology split apart and “exotic” phenomena emerges. I will begin by describing how this phase transition can be studied via embedded surfaces in4-manifolds, then I will survey recent developments in this area. In particular, I will explain how quantum invariants (such as Khovanov homology)have recently been used to address existence and uniqueness questions about surfaces in 4-manifolds — and what this might imply for foundational questions about 4-manifolds themselves.
Location: Mathematics Hall, room 520
Date: Friday, January 20, 2023 at 10:30am
 Print this pageAdded on December 01, 2022 by Alenia ReynosoIt is with profound sadness that we write to share the news that Igor Krichever passed away on Thursday December 1, 2022. A funeral service was held on Friday, December 2, at the Plaza Jewish Community Chapel.
Our condolences goes out to all. Professor Krichever was beloved by many and we will always remember him for his great work and kindness.
Print this pageAdded on November 29, 2022 by Alenia ReynosoSpeaker: Søren Galatius
Title: On topological Pontryagin classes
Abstract: The Pontryagin classes of a real vector bundle can be defined via Chern classes of its complexification, and appear in Hirzebruch’s formula for the signature of a smooth 4n-dimensional manifold for example. It was realized long ago that Pontryagin classes can be defined more generally for topological bundles, that is, bundles with fibers homeomorphic to euclidean spaces, even in the absence of linear structures. I will recall a bit of the classical theory of Pontryagin classes for topological bundles, and discuss some new developments including joint work with Randal-Williams on algebraic independence.
Where: Mathematics Hall, room 520
When: Monday, January 23, 2023 at 04:30pm
Print this pageAdded on November 10, 2022 by Alenia ReynosoMathematics Professors Panagiota Daskalopoulos (Columbia University) and Nataša Šešum (Rutgers University) have been selected to receive the 2023 Ruth Lyttle Satter Prize in Mathematics.
The prize, awarded by the American Mathematical Society every two years, recognizes an outstanding contribution to mathematics research by a woman in the previous six years.
The Satter Prize will be awarded in January 2023 at the Joint Mathematical Meetings, which will be held in Boston.
AMS news website
Print this pageAdded on October 24, 2022 by Alenia ReynosoSpeaker: Francesco Maggi
Title: A stability theory for isoperimetric and minimal area problems
Abstract: We offer a non-technical, panoramic view on some old and new results concerning the quantitative description of minimizers and critical points in basic geometric variational problems involving area. In the first part of the talk we review basic results on almost-isoperimetric and almost-constant mean curvature boundaries, both in the Euclidean and in the Riemannian setting. In the second part of the talk, we introduce the approximation of possibly singular minimal surfaces by “soap films” with positve, small volume. Finally, we revisit some of these results in the more physical context of Allen-Cahn surface tension energies, and introduce a new convergence theorem for the diffused interface volume preserving mean curvature flow.
Where: Mathematics Hall, room 520
When: Wednesday, November 30, 2022 at 04:30pm
Print this pageAdded on October 24, 2022 by Alenia ReynosoTitle: Primes, the zeta function and zero density estimates.
Abstract: If we could prove the Riemann Hypothesis, then there would be several fantastic consequences for our understanding of prime numbers. It turns out that even if the Riemann Hypothesis is false and there are some counterexamples to it, we can still obtain many of these consequences for primes provided the counterexamples are suitably ‘rare’. I’ll talk about this picture and recent joint work on possible patterns of counterexamples. As a consequence of our new approach if the zeros of the zeta function lay on finitely many vertical lines then we obtain several results on primes which are essentially as strong as what the Riemann Hypothesis would imply.
Where: Mathematics Hall, room 520
When: Wednesday, November 02, 2022 at 04:30pm
Print this pageAdded on October 19, 2022 by Alenia ReynosoThe Packard Foundation established the Fellowships program in 1988 to provide early-career scientists with flexible funding and the freedom to take risks and explore new frontiers in their fields. Each year, the Foundation invites 54 universities to nominate two faculty members for consideration. The Packard Fellowships Advisory Panel, a group of 12 internationally-recognized scientists and engineers, evaluates the nominations and recommends 20 Fellows for approval by the Packard Foundation Board of Trustees.
Amol Aggarwal is an Associate Professor in the Department of Mathematics at Columbia University. By developing (and often combining) algebraic, analytic, and probabilistic frameworks, Aggarwal studies how intricate structures behave in large scaling limits under various guises, such as statistical mechanical systems with many molecules; random matrices of high dimension; and surfaces of large genus.
For more information please visit: Meet the 2022 Class of Packard Fellows for Science and Engineering – The David and Lucile Packard Foundation
Print this pageAdded on September 12, 2022 by Alenia ReynosoProfessor Steven M. Zelditch of Northwestern University passed away on September 11, 2022, two days short of his 69th birthday. He was a Ritt Assistant Professor at Columbia University from 1981 to 1985 where, among many important works, he laid down the foundations for a geometric theory of quantum chaos. He was well-loved and respected by all those who knew him, and his memory will live on in the Columbia Mathematics department.
https://sites.math.northwestern.edu/steve_zelditch/
Print this pageAdded on August 18, 2022 by Alenia Reynoso
Title: Thresholds.
Abstract: For a finite set X, a family F of subsets of X is said to be increasing if any set A that contains B in F is also in F. The p-biased product measure of F increases as p increases from 0 to 1, and often exhibits a drastic change around a specific value, which is called a “threshold.” Thresholds of increasing families have been of great historical interest and a central focus of the study of random discrete structures (e.g. random graphs and hypergraphs), with estimation of thresholds for specific properties the subject of some of the most challenging work in the area. In 2006, Jeff Kahn and Gil Kalai conjectured that a natural (and often easy to calculate) lower bound q(F) (which we refer to as the “expectation-threshold”) for the threshold is in fact never far from its actual value. The positive answer to this conjecture enables one to narrow down the location of thresholds for any increasing properties in a tiny window. In particular, this easily implies several previously very difficult results in probabilistic combinatorics such as thresholds for perfect hypergraph matchings (Johansson–Kahn–Vu) and bounded-degree spanning trees (Montgomery). In this talk, I will present the recent resolution of the Kahn-Kalai Conjecture, along with some preceding work around this topic. Based on joint work with Keith Frankston, Jeff Kahn, Bhargav Narayanan, and Huy Tuan Pham.
Where: Mathematics Hall, room 520
When: Wednesday, September 14, 2022 at 04:30pm
Print this page Added on August 12, 2022 by Alenia ReynosoThe Fall 2022 Samuel Eilenberg Lectures will take place on Tuesdays at 2:40 p.m. in room 520. Professor Hélène Esnault (Freie Universität Berlin), will deliver a series of lectures titled:
“LECTURES ON LOCAL SYSTEMS IN ALGEBRAIC-ARITHMETIC GEOMETRY”
Abstract: The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is complex local systems. One fundamental problem is to recognize those coming from geometry, and more generally subloci of the moduli space of local systems with special arithmetic properties. This is the object of deep conjectures. We’ll study some consequences of those, notably integrality and crystallinity properties.
Tuesdays at 2:40 pm
Room 520, Mathematics Hall
2990 Broadway (117th Street)
First lecture: September 13, 2022
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