Institut for Matematik og Datalogi

Devon Stockall forsvarer sin ph.d.-afhandling ved et offentligt foredrag: “Defects and Interfaces in Topological Sigma Models via Higher Sheaf Theory”.Lektor Matthias Oliver Wilhelm vil være ordstyrer ved arrangementet. Ph.d.-forsvaret finder sted i IMADAs Konferencelokale (Ø18-509-2). Alle er velkomne.

Speaker: Yuki Matsubara (University of Southern Denmark)Abstract: TBA

Speaker: Benjamin Shackleton (​University of Southern Denmark).Abstract: In this pre-PhD work, completed with input from Professor Sir Simon Donaldson and Dr Daniel Platt, I prove the existence of a Ricci flat metric on the Kummer K3 surface. The proof follows the general strategy of Donaldson’s gluing construction. However, we tackle the analysis without appealing to weighted norms or conformal transformations to model spaces, instead relying solely on compact elliptic theory on usual Hölder and Sobolev spaces.The talk will coversetting up the problem and the computation of the estimates used.The paper can be found here: https://arxiv.org/abs/2605.02046.

Speaker: Shing Tak Lam (​University of Warwick).Abstract: In complex geometry, a central theme is the relationship between algebro-geometric stability and the existence of canonical metrics. Examples of this include the Hitchin-Kobayashi correspondence for holomorphic vector bundles, and the Yau-Tian-Donaldson conjecture for varieties. In this talk, I will discuss a parabolic analogue of these results, relating the asymptotics of the associated geometric flows to algebro-geometric filtrations defined by Haiden-Katzarkov-Kontsevich-Pandit and Ibáñez Núñez.

I Danmarks næststørste by flygtede kun et par jøder, da tyskerne startede ’jødeaktionen’ i oktober 1943 – sådan har historikerne hidtil ment.

I Danmarks næststørste by flygtede kun et par jøder, da tyskerne startede ’jødeaktionen’ i oktober 1943 – sådan har historikerne hidtil ment.

Studerende udvikler en bred vifte af kompetencer gennem deres uddannelse, men de er ikke altid selv bevidste om alt det, de bliver bedre til undervejs.

Speaker: Sebastian Pögel (​University of Zurich).Abstract: TBA

Muhammad Rajabinasab forsvarer sin ph.d.-afhandling ved et offentligt foredrag: “Explanation as an Act of Selection: Feature Selection, Explainable AI, and Evaluation in Machine Learning”.Professor Melih Kandemir vil være ordstyrer ved arrangementet. Ph.d.-forsvaret finder sted i IMADAs Konferencelokale (Ø18-509-2). Alle er velkomne.

Speaker: Apoorv Tiwari (​University of Southern Denmark).Abstract: TBA

Speaker: Arim Song (​Friedrich-Alexander University Erlagen-Nürnberg).Abstract: $W$-algebras are families of vertex algebras associated with Lie algebras and their nilpotent elements. They can be viewed as chiral analogues of the Feigin-Frenkel center of the Lie algebra and exhibit rich structures, including Feigin–Frenkel duality and coset realizations. The $W_\infty$-algebra is a two-parameter family of vertex algebras whose quotients recover type A principal $W$-algebras. It provides a powerful framework for classifying vertex algebras with prescribed strong generating type and has led to the discovery of isomorphisms among various families of vertex algebras, including results that partially establish the celebrated triality conjecture of Gaiotto and Rapčák. The construction of $W$-algebras extends naturally to Lie superalgebras, giving rise to $W$-superalgebras. However, many questions concerning dualities among these algebras remain open. In recent joint work with Creutzig, Kovalchuk, Linshaw, and Suh, we extended the $W_\infty$-algebra framework to type A Lie superalgebras and established dualities for type A principal $W$-superalgebras. In this talk, I will introduce $W$-algebras and $W_\infty$-algebras, and discuss their structural properties. If time permits, I will briefly discuss the recent developments in the super setting.