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The aim of this seminar is to foster a supportive community for sharing ideas in mathematics, physics, life and anything in between. Bring forward an idea, a useful trick, a new insight or a problem you're stuck on and share it with us here at IMI. But here's the catch: you have one hour to speak openly and one board to write freely, but nothing gets erased! Whether you choose to be meticulous or gamble on your spatial instincts, minimalist or expressive, careful or bold, how you make it work is completely up to you!
This seminar is intentionally informal aiming at young researchers (students or early-career researchers). No grilling. No Pressure. Expect a relaxed, exploratory and genuinely informative atmosphere with space to wander and discover something new.
Interested? Drop us an email at oneboardseminarinsofia@gmail.com. We can’t wait to hear your ideas and see what earns a spot on your board!
*The seminar will generally be held on Thursdays from 2:00–3:00 pm.
Next talk: Frieze Patterns
Date: Thursday, 19 March 2026, 2:00 - 3:00 pm.
Room: 478
Speaker: Deepanshu Prasad
Abstract: Frieze patterns, introduced by H. S. M. Coxeter and John Conway, are arrays of numbers satisfying a simple local determinant rule. Despite their elementary definition, they have deep connections with combinatorics, cluster algebras, and representation theory. In this talk, I will briefly review classical frieze patterns and then discuss infinite friezes. I will describe their basic properties and illustrate how they arise naturally in combinatorial and representation-theoretic settings.
Organizers:
Christelle Kozaily
Higinio Serrano Garcia
Higinio's Board!
Higinio's Board!
On vector bundles, holonomy and curvature in condensed matter.
Abstract: We present a geometric formulation of the integer quantum Hall effect from the perspective of characteristic classes. Starting from a complex vector bundle over the two-dimensional Brillouin torus, we consider the natural Berry connection arising from a family of spectral projectors with a spectral gap. The associated curvature form represents, via the Chern–Weil homomorphism, the first Chern class of the bundle. Its integral over the Brillouin torus is therefore an integer, independent of the choice of connection. We explain how this topological invariant coincides with the quantized Hall conductivity, thus providing a direct bridge between differential geometry and a measurable physical observable.
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