Info: The AGDM seminar is a joint seminar of the University of Vienna and TU Wien. In winter semesters, we meet on Tuesdays from 15:00 to 16:30 at the University of Vienna. In summer semesters, we meet on Tuesdays from 15:15 to 16:45 at TU Wien.
Since 2025, we use a mailing-list to advertise the seminar. You can register here.
Place: University of Vienna, Oskar-Morgenstern-Platz 1, BZ 09 (first room on the right on the 9th floor)
Time:Tuesday, 15:00-16:30
| Date: | Tuesday 25.11.2025 |
| Title: | Tesler identities for wreath Macdonald polynomials |
| Speaker: | Joshua Jeishing Wen (University of Vienna) |
| Abstract: | Wreath Macdonald polynomials were defined by Haiman in 2003 as generalizations of the modified Macdonald polynomials whereby the symmetric groups are replaced with their wreath product with a cyclic group of fixed order $r$. Just as how the representation theory of the symmetric groups can be studied in terms of the ring of symmetric functions, the representation theory of these wreath products can be described by its $r$th tensor power; thus, wreath Macdonald polynomials can be considered as partially symmetric functions. I will present joint work with M. Romero that establishes a wreath analogue of Macdonald reciprocity. While our methods are not combinatorial, the combinatorics of $r$-cores and $r$-quotients plays a key role in describing the results. As an application, I will present joint work with S. Albion Ferlinc that proves a $(q,t)$-analogue of the modular Nekrasov--Okounkov formula. |
Maintaining a respectful environment is essential to fostering meaningful dialogue and intellectual growth. Participants are expected to refrain from any form of disrespectful or inappropriate behaviour, including offensive comments, harassment, or disruptive conduct. Questions and contributions should be constructive, relevant to the topic, and posed in a professional manner that encourages healthy academic exchange. Harassment of any kind—including verbal, moral or physical—will not be tolerated, and all attendees are urged to uphold these principles to ensure a safe and welcoming atmosphere for everyone.
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| 16.12.2025 | Atsuro Yoshida | |
| 13.01.2026 | Abdulhafeez Abdulsalam | |
| 20.01.2026 | Markus Reibnegger | |
| 27.01.2026 | Mona Gatzweiler |
| 18.11.2025 | Fabián Levicán (University of Vienna) | Embeddings of weighted projective spaces |
| 11.11.2025 | Nicolas Allen Smoot (University of Vienna) | Some New Examples of Modular Congruence Multiplicities |
| 04.11.2025 | Eva-Maria Hainzl (TU Wien) | Functional equations with catalytic variable 101 |
| 28.10.2025 | Shane Chern (University of Vienna) | The Koutschan-Krattenthaler-Schlosser determinants and their combinatorics |
| 21.10.2025 | Sergio Alejandro Fernandez de Soto Guerrero (TU Graz) | MathMagic: A positroidal action over a deck of cards |
| 14.10.2025 | Christian Krattenthaler (University of Vienna) | Two Topics, Four Lessons |
| 07.10.2025 | Matija Bucic (University of Vienna) | Equiangular lines via improved eigenvalue multiplicity |