Discrete Mathematics Working Group (Arbeitsgemeinschaft Diskrete Mathematik, AGDM)
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, the seminars are held in TU Wien.
From 2025, we will be using a new mailing-list to advertise the seminar. You can register here.
Place: TU Wien (Freihaus, Wiedner Hauptstr. 8-10, 1040 Wien): Room DA 08 B19 (Dissertantenzimmer), 8th floor, Tower A (green)
Time: Tuesday, 15:15-16:45
Next talk
| Date: |
Thursday 08.05.2025 |
| Title: |
Schur's 1926 partition theorem - new variations and recent advances |
| Speaker: |
Krishnaswami Alladi (University of Florida) |
| Abstract: |
Schur’s celebrated partition theorem of 1926 asserts the equality $D(n) = C(n)$, where $D(n)$ is the number of partitions of $n$ into parts that differ by $\geq 3$ and with no consecutive multiples of $3$, and $C(n)$ is the number of partitions on $n$ into distinct parts which are not multiples of $3$. In 1989, Basil Gordon and I generalized and refined this theorem by the method of weighted words. In the early 1990s, I mentioned to George Andrews that it would also be worthwhile to investigate another partition function equal to $D(n)$ and $C(n)$, namely, $A(n) =$ the number of partitions of $n$ into odd parts that repeat at most twice. Andrews named the equality $D(n) = A(n)$ as the Alladi-Schur Theorem when he obtained in 2015, the following deep, elegant and surprising refinement of it: Let $D(m, n)$ denote the number of partitions of $n$ of the type enumerated by $D(n)$, with the added condition that the number of parts PLUS the number of even parts is $m$. Let $A(m, n)$ denote the number of partitions of $n$ into $m$ odd parts that repeat at most twice. Then $D(m, n) = A(m, n)$. Andrews’ proof was by the use of generating function polynomials. In this talk, after surveying major results on Schur’s partition theorem, I will discuss an intricate bijective proof of Andrews’ refinement of the Alladi-Schur Theorem due my PhD student Yazan Alamoudi.
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Code of conduct
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.
Upcoming talks
| 13.05.2025 | Fabián Levicán | Color rules for cyclic wreath products and semigroup algebras from projective toric varieties |
| 20.05.2025 | Matjaž Konvalinka |
| 27.05.2025 | Philipp Beltran | Scaling limits of multitype Bienaymé trees |
| 03.06.2025 | |
| 10.06.2025 | |
| 17.06.2025 | |
| 24.06.2025 | Alessandro Iraci |
Talks in the past years
Talks of years 2005 - 2024
Past talks of this year
| Datum: |
15.04.2025 |
| Titel: |
On the Unexpected Connections in the Arithmetic Properties of POND and PEND Partitions |
| Speaker: |
James Sellers (University of Minnesota Duluth) |
| Datum: |
08.04.2025 |
| Titel: |
Dual transform, PSD codes and self-dual bent functions |
| Speaker: |
Stefka Bouyuklieva (University of Veliko Tarnovo) |
| Datum: |
01.04.2025 |
| Titel: |
Newton polytopes of some symmetric polynomials |
| Speaker: |
Candice Zhang 张旭彤 (Chinese Academy of Sciences, Beijing) |
| Datum: |
18.03.2025 |
| Titel: |
Combinatorial problems arising from representation theory of $GL_n$ over a $p$-adic field |
| Speaker: |
Erez Lapid (Weizmann Institute of Science) |
| Datum: |
11.03.2025 |
| Titel: |
Hall-Littlewood polynomials, affine Schubert series, and lattice enumeration |
| Speaker: |
Christopher Voll (Universität Bielefeld) |
| Datum: |
04.03.2025 |
| Titel: |
The number of monotone trapezoids with prescribed bottom row |
| Speaker: |
Ilse Fischer (Universität Wien) |
| Datum: |
28.01.2025 |
| Titel: |
Cohomology of perfect Lie algebras and partitions |
| Speaker: |
Dietrich Burde (Universität Wien) |
| Datum: |
21.01.2025 |
| Titel: |
Rook equivalence and a multisum extension of the Sears $_4\phi_3$ transformation |
| Speaker: |
Michael Schlosser (Universität Wien) |
| Datum: |
14.01.2025 |
| Titel: |
Short presentations and posters |
| Speaker: |
Students |
| Datum: |
07.01.2025 |
| Titel: |
Separated variables on plane algebraic curves |
| Speaker: |
Manfred Buchacher (JKU Linz) |
| Datum: |
17.12.2024 |
| Titel: |
Murnaghan–Nakayama rlies for symplectic, orthogonal and orthosymplectic Schur functions |
| Speaker: |
Nishu Kumari (Universität Wien) |
| Datum: |
10.12.2024 |
| Titel: |
Number systems and fractals |
| Speaker: |
Lucía Rossi (TU Wien) |
| Datum: |
03.12.2024 |
| Titel: |
Cluster structures on spinor helicity and momentum twistor varieties |
| Speaker: |
Jianrong Li (Universität Wien) |
| Datum: |
26.11.2024 |
| Titel: |
An Unexpected Symmetry on Graphs |
| Speaker: |
Florian Fürsinn (Universität Wien) |
| Datum: |
19.11.2024 |
| Titel: |
Phase transitions of block-weighted planar maps |
| Speaker: |
Zéphyr Salvy (TU Wien) |
| Datum: |
12.11.2024 |
| Titel: |
Polyominoes from operators on symmetric functions |
| Speaker: |
Marino Romero (Universität Wien) |
| Datum: |
05.11.2024 |
| Titel: |
Folding lemma and its applications in Number Theory |
| Speaker: |
Nikita Shliga (La Trobe University Melbourne) |
| Datum: |
29.10.2024 |
| Titel: |
Growth diagram proofs for the Littlewood identities |
| Speaker: |
Florian Schreier-Aigner (Universität Wien) |
| Datum: |
22.10.2024 |
| Titel: |
A central limit theorem for a card shuffling problem |
| Speaker: |
Shane Chern (Universität Wien) |
| Datum: |
15.10.2024 |
| Titel: |
$p(5n+4)$ again! Parity bias and it's unintended arithmetic consequences |
| Speaker: |
Manosij Ghosh Dastidar (TU Wien) |
| Datum: |
08.10.2024 |
| Titel: |
Lattice points and rational $q$-Catalan numbers |
| Speaker: |
Drew Armstrong (University of Miami) |