SUMM 2024
The Seminars on Undergraduate Mathematics in Montreal
January 5 to January 7, 2024
Université du Québec à Montréal (UQÀM)
Share Your Passion of Mathematics
The Seminars on Undergraduate Mathematics in Montreal (SUMM) is organized by undergraduate students from Montreal universities. The main objective is to create an environment facilitating exchange of ideas and interests as well as allowing students to network.
The SUMM weekend is aimed at undergraduate students in mathematics or related domains. This year, the conference will be held from January 5 to January 7, 2024.
The weekend consist of two days of presentations given by undergraduate students and invited professors. The presentations can cover a broad range of subjects, from mathematical physics to the applications of artificial intelligence as well as the history and philosophy of mathematics.
During the SUMM, students can choose to give a talk, or simply to attend presentations given by their peers. It's an occasion to share the passion for mathematics in a stimulating environment, while networking with other passionate students over the weekend.
We hope to see you there!
See you there?
Why attend the SUMM?
Meet people
Meet like-minded students and exchange ideas on your favorite mathematical topics
Expand your knowledge
Learn from student presentations on different subject of mathematics
Show your work
An opportunity to present your work and perfect your presentation skills
Schedule
Keynote Speakers
January 5th, 7pm-8pm
Julien Keller
Un résultat de topologie algébrique avec d'innombrables applications
Un résultat de topologie algébrique avec d'innombrables applications
Nous discuterons d'un théorème classique de la topologie algébrique (la branche des mathématiques qui applique les outils de l'algèbre dans l'étude des espaces topologiques), le théorème de Borsuk-Ulam, dont la preuve n'est pas difficile. Nous verrons qu'il a des conséquences surprenantes à la fois en mathématiques et hors des mathématiques.
January 6th, 11am-12pm
Alina Stancu
An excursion into geometric analysis via a spectral problem in hyperbolic space
If you are attending this talk, it is very likely that you know, or have heard of, concepts such as eigenvalues, Laplace operator, convex set or domain, and hyperbolic space. In this talk, these concepts will come together to describe a surprising phenomenon regarding the difference of the first two eigenvalues of the Laplace operator with Dirichlet boundary conditions on convex domains in spaces of constant curvature : Euclidean, spherical and hyperbolic, with an emphasis on the hyperbolic plane and disk models. Elements of analysis and geometry will merge to illustrate an example of an active topic of research in geometric analysis.
January 6th, 4pm-5pm
Jake Levinson
La géométrie énumérative, ou: le déclin de l'empire italien
Du mi-19e au mi-20e siècle, l'école italienne de géométrie algébrique a produit une gamme de théorèmes fondamentales sur la géométrie des courbes et des surfaces (entre autres). Or, certains de leurs méthodes, plus intuitifs que rigoureux, ont mené à une accumulation progressive de lacunes et même d'erreurs, notamment dans le cas de la géométrie « énumérative », qui cherche à compter le nombre de solutions aux problèmes de géométrie. Nous allons parcourir une partie de cette histoire, qui n'a été résolu que dans l'ère moderne.
January 7th, 11am-12pm
Anush Tserunyan
From graphs to dynamics via descriptive set theory
In the past thirty years, a new subfield of descriptive set theory has emerged that bridges graph theory, dynamics, and measured group theory. Central objects of this subfield are graphs whose vertex set is, say, $\mathbb{R}$, and whose edge set is given by a "measurable" transformation or a group of such transformations. I will give the flavour of this subject on the simple example of graphs coming from rotations of the circle.
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