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==== Talk Abstracts ==== Eric Marberg: Shifted combinatorial Hopf algebras for K-theory The self-dual Hopf algebra of symmetric functions Sym embeds into the quasisymmetric functions QSym. The dual of QSym is the Hopf algebra of noncommutative symmetric functions NSym, which itself embeds into the self-dual Malvenuto-Reutenaurer Hopf algebra of permutations. These embeddings and their adjoint projections can be conveniently drawn as a diagram of six Hopf algebras. This talk will discuss "K-theoretic" and "shifted" generalizations of this diagram, along with some algorithmic problems related to computing products, coproducts, and antipodes in the relevant Hopf algebras. The new results in this talk are joint work with Joel Lewis. |
Sage Days 114
Following the 34th FPSAC 2022.
The Sage days will consist in an intense three-day meeting at IMSc:
July 25–27, 2022, The Institute of Mathematical Sciences (IMSc), Chennai, India
Following this intense period, a working group on software for mathematics and their illustration will meet twice a week for a few weeks, mostly at the Chennai Mathematical Institute (CMI), led by Julian Rüth and Samuel Lelièvre.
Organizing Committee
- Arvind Ayyer (Indian Institute of Science)
- Manoj Kummini (Chennai Mathematical Institute)
- Samuel Lelièvre (Laboratoire de mathématique d'Orsay, Université Paris-Saclay)
- Julian Rüth
- Amritanshu Prasad (The Institute of Mathematical Sciences, Chennai)
- Travis Scrimshaw (Hokkaido University)
- S. Viswanath (The Institute of Mathematical Sciences, Chennai)
- Pascal Weil (CNRS, Chennai/Bordeaux)
Tentative Schedule
Day 1: 25th July 2022
Time |
Speaker |
Title |
0930-1030 |
Ajit Kumar |
Introduction to SageMath |
1030-1130 |
Samuel Lelièvre |
SageMath for Educators |
1130-1200 |
High Tea |
|
1200-1300 |
"Bring Your Own Problem" Session |
|
1300-1430 |
Lunch |
|
1430-1530 |
Julian Rüth |
SageMath Installation |
1530-1630 |
Projects for Coding Sprints |
|
1630-1730 |
Coding Sprints |
|
Day 2: 26th July 2022
Time |
Speaker |
Title |
0900-1000 |
Alba Málaga |
Certified Plotting/SageMath and 3D Printing |
1000-1030 |
Coffee Break |
|
1030-1145 |
The Organizers (mostly) |
Tutorials Upon Request |
1145-1245 |
Julian Rüth |
Interactive Visualization in SageMath |
1245-1415 |
Lunch |
|
1415-1730 |
Coding Sprints |
|
Day 3: 27th July 2022
Time |
Speaker |
Title |
0900-1000 |
Eric Marberg |
Shifted combinatorial Hopf algebras for K-theory |
1000-1030 |
Coffee Break |
|
1030-1130 |
Martin Rubey |
Combinatorial Species |
1145-1245 |
Kanak Dhotre |
Visualizing Julia Sets |
1245-1415 |
Lunch |
|
1415-1730 |
Coding Sprints |
|
Talk Abstracts
Eric Marberg: Shifted combinatorial Hopf algebras for K-theory
The self-dual Hopf algebra of symmetric functions Sym embeds into the quasisymmetric functions QSym. The dual of QSym is the Hopf algebra of noncommutative symmetric functions NSym, which itself embeds into the self-dual Malvenuto-Reutenaurer Hopf algebra of permutations. These embeddings and their adjoint projections can be conveniently drawn as a diagram of six Hopf algebras. This talk will discuss "K-theoretic" and "shifted" generalizations of this diagram, along with some algorithmic problems related to computing products, coproducts, and antipodes in the relevant Hopf algebras. The new results in this talk are joint work with Joel Lewis.
Sage Club at CMI
Following the Sage Days, a ''Sage Club'' will meet twice a week at CMI. The Sage Club is going to be an open forum, led by Samuel Lelièvre and Julian Rüth, where we will learn more about SageMath, focusing on the interests of the participants. Just as with the Sage Days, beginners and students are very welcome at any session.