Title: A raising operator formula for Macdonald polynomials,
Speaker(s): George H. Seelinger, University of Michigan,
Date and time: 12 Oct 2023, 14:30 (Europe/Rome),
Lecture series: Seminar on Combinatorics, Lie Theory, and Topology,
Venue: Department of Mathematics (Aula Riunioni).
You can access the full event here: https://events.dm.unipi.it/e/211
Abstract
--------
Macdonald polynomials are a basis of symmetric functions with coefficients in $\mathbb{Q}(q,t)$ exhibiting deep connections to representation theory and algebraic geometry. In particular, specific specializations of the $q,t$ parameters recover various widely studied bases of symmetric functions, such as Hall-Littlewood polynomials, Jack polynomials, q-Whittaker functions, and Schur functions. Central to this study is the fact that the Schur function basis expansion of the Macdonald polynomials have coefficients which are polynomials in $q,t$ with nonnegative integer coefficients, which can be realized via a representation-theoretic model. A more combinatorial approach to this result lies in first expanding Macdonald polynomials into LLT polynomials via the work of Haglund-Haiman-Loehr. LLT polynomials were first introduced by Lascoux-Leclerc-Thibbon as a q-deformation of a product of Schur polynomials and have subsequently appeared in the study of Macdonald polynomials and related families. In this talk, I will explain this background and provide a new explicit "raising operator" formula for Macdonald polynomials that follows from a realization of LLT polynomials in the elliptic Hall algebra of Burban and Schiffmann, which we describe via an isomorphism between the shuffle algebra studied by Feigin and Tsymbaliuk and part of the elliptic Hall algebra. This work is joint with Jonah Blasiak, Mark Haiman, Jennifer Morse, and Anna Pun.
--
Indico :: Email Notifier
https://events.dm.unipi.it/e/211
Carə tuttə,
Giovedì 28 Settembre alle 14.30 in Aula Seminari si terrà il seminario di Ken Baker (University of Miami) dal titolo "Handle numbers of knots and sutured manifolds". Di seguito l'abstract.
The handle number, or Morse-Novikov number, of a knot counts the minimum number of handles needed for a circular Heegaard splitting of its exterior. It may be viewed as a measure of distance from fiberedness. The rank of the top groups of the instanton and Heegaard knot Floer homologies also provide another measure. Here we show that the nearly fibered knots of the Floer sense due to Li-Ye and Baldwin-Sivek are not always nearly fibered in the handle number sense. In the process we also provide conditions for knots to have unique incompressible Seifert surfaces and show that some Floer nearly-fibered knots have incompressible Seifert surfaces of non-minimal genus.
Mercoledì 27 Settembre alle 14.30 in Aula Riunioni, Ken terrà un pretalk sugli argomenti del seminario.
Le informazioni sui prossimi seminari si trovano sul sito<https://www.dm.unipi.it/categoria-evento/geometry-seminar/>.
Vi aspettiamo!
Buona giornata,
Filippo, Giovanni e Giuseppe
Dear all,
We are happy to announce the workshop CATA: *Combinatorial algebraic
topology and applications. *CATA is a two-days event that will be held at
Centro De Giorgi in Pisa the 27th and 28th, November 2023.
The workshop concerns various topics in combinatorics and algebraic
topology, as well as their applications to different fields, e.g. data
analysis, neural sciences and economics. The aim of the workshop is to
gather researchers with common interest in the above topics, and to create
an atmosphere of discussion, where to share ideas.
Leó Benard (Université de Aix-Marseille)
Celeste Damiani (Istituto Italiano di Tecnologia)
Irakli Patchkoria (University of Aberdeen)
Simona Settepanella (Università di Torino)
Jason P. Smith (Nottingham Trent University)
Paolo Salvatore (Università di Roma Tor Vergata)
Viola Siconolfi (Politecnico di Bari)
Jonathan Spreer (University of Sydney/TU Berlin)
Limited funding might be available to early registered participants. If
needed, please contact Luigi Caputi (luigi.caputi(a)unito.it) or Carlo
Collari (carlo.collari(a)dm.unipi.it).
The workshop also includes a poster session. Those interested in presenting
a poster should send an email to crm(a)sns.it, including title and abstract,
for the evaluation by the Scientific Committee.
For more information visit the website: http://www.crm.sns.it/event/523/
Looking forward to seeing you in Pisa.
The organisers,
Luigi Caputi, Carlo Collari, and Paolo Lisca
Inoltro annuncio di bando per assegni di ricerca.
Paolo Lisca
________________________________
Da: Filippo Bracci <fbracci(a)mat.uniroma2.it>
Inviato: sabato 16 settembre 2023 10:34
A: Filippo Bracci
Oggetto: assegni di ricerca a Tor Vergata
Carissime e carissimi,
è stato pubblicato il bando per 4 assegni di ricerca biennali di III fascia (circa 25.000 euro annui al netto degli oneri) su ogni area della Matematica legata la progetto di eccellenza del Dipartimento di Matematica di Roma “Tor Vergata":
https://pica.cineca.it/uniroma2/f3-2023-0008/
la scadenza per la presentazione delle domande è il 14 ottobre 2023.
Vi prego di far circolare l’annuncio tra le persone potenzialmente interessate,
grazie
A presto
Filippo
--
************************
Prof. Filippo Bracci
Direttore/Head
Dipartimento di Matematica
Universita' di Roma "Tor Vergata"
Via della Ricerca Scientifica 1
00133 Roma - ITALIA
Tel: (+39-)06-7259 4643/4105
Fax: (+39-)06-7259 4699
E-mail: fbracci(a)mat.uniroma2.it
Web-page: www.mat.uniroma2.it/~fbracci
---------- Forwarded message ---------
Da: wagner(a)imj-prg.fr <wagner(a)imj-prg.fr>
Date: Sab 2 Set 2023, 10:00
Subject: [gdrtresses] WinterBraids XIII
To: gdrtresses(a)listes.math.cnrs.fr <gdrtresses(a)listes.math.cnrs.fr>
*****************************************************
Winterbraids XIII --- second announcement
School on braids and low-dimensional topology
Montpellier, February 6-9 2024
******************************************************
Winterbraids XIII is the 13th edition of an itinerant school on braids
and low-dimensional topology, that will be held at Institut Montpelliérain
Alexander Grothendieck
(Montpellier) from February 6th to 9th, 2024.
The school consists on three 3-hours mini-courses and a special lecture:
* Asilata Bapat (ANU, Australia): Braids and stability conditions
* Marco Golla (Nantes, France): Surfaces in 4-manifolds
* Bram Petri (Sorbonne, France): Probabilistic methods in
low-dimensional
hyperbolic geometry
* Vincent Pilaud (Polytechnique, France): Combinatorial geometry
These will be completed by short talks and a poster session devoted to
student presentations (not necessarily focused on braids or their
generalizations).
The school will be mainly supported by the Institut Montpelliérain Alexander
Grothendieck,
the Université de Montpellier, the GDR Tresses, the ETH Zürich, and the
European Commission.
The school will start on Tuesday morning and will end on Friday at
noon. Registrations are avaible online: (deadline 15 november)
https://winterbraids-xiii.sciencesconf.org/
For any queries, please contact the organizers at
winterbraids-xiii(a)sciencesconf.org
Organizers:
Berenice Delcroix-Oger (Université de Montpellier)
Peter Feller (ETH, Zurich)
Vincent Florens (Université de Pau et des pays de l'Adour)
Hoel Queffelec (Université de Montpellier)
Buondì,
Segnalo che nei primi due giorni del convegno UMI a Pisa - lunedì 4 e
martedì 5 settembre - si svolgerà la sezione "Topologia e Geometria
differenziale" che ho coordinato con Barbara Nelli. Questo è il programma:
https://umi.dm.unibo.it/congresso2023/programma/sezioni/s16-topologia-e-geo…
I seminari saranno in aula G1. Programma sintetico:
Lunedì 4 settembre
15 Aceto
15.40 Moraschini
Martedì 5 settembre
11 Fanoni
11.40 Cavallucci
12.20 Tamburelli
16.45 Santilli
17.25 Slavich
A presto,
Bruno Martelli
Buondì,
Segnalo che è aperto un bando per un assegno di ricerca biennale
(rinnovabile) in geometria presso il nostro dipartimento:
https://bandi.unipi.it/public/Bandi/Detail/eddcd650-ec55-459a-9511-5a6e0762…
La scadenza per la presentazione delle domande è il 6 settembre alle 13.
Si prega di dare la massima diffusione.
A presto,
Bruno Martelli
---------- Forwarded message ---------
From: Daniele Angella <daniele.angella(a)unifi.it>
Date: Wed, Jul 26, 2023 at 12:35 PM
Subject: Fwd: Seventh postdoc in Paolo's memory
To: geometriaglobale-group(a)unifi.it <geometriaglobale-group(a)unifi.it>
---------- Forwarded message ---------
From: Fiammetta Battaglia <fiammetta.battaglia(a)unifi.it>
Date: Wed, Jul 26, 2023 at 12:19 PM
Subject: Seventh postdoc in Paolo's memory
Dear all,
The official call for the seventh postdoc position in Paolo's memory
has been published. As for the previous editions, we invite you to
publicise the announcement. You may find a letter below with all the
details.
This year Elisa Prato, professor in Geometry at our Department, will
be in charge of the post-doc position.
Best wishes to you all,
Fiammetta
-----------------------------------------------------------------------------------------------------------------------------------------------------------
Postdoctoral position in memory of Paolo de Bartolomeis
Deadline: 18 Ottobre 2023
A postdoctoral position has been established at the Dipartimento di
Matematica e Informatica "U. Dini", Università di Firenze, Italy.
Strong candidates pursuing research in Complex and Symplectic
Geometry, in the broadest sense, are warmly encouraged to apply within
October, 18, 2023. The duration of this position is one year, possibly
extendable for one further year.
Details for the application can be found at the following link:
https://titulus.unifi.it/albo/viewer?view=files%2F005071398-UNFICLE-1f7fcfe…
Note that the English version of the forms that have to be submitted
in order to apply can be found at the end of the official call. Forms
may be filled in English. The application must be sent with all the
required forms attached, in a unique email, as indicated.
This position has been established in memory of Professor Paolo de
Bartolomeis and is fully funded by his family, with the aim of giving
the opportunity to a young researcher to carry out research in the above
fields.
Please circulate this announcement to potential candidates. For
further information please contact:
fiammetta.battaglia(a)unifi.it, antonella.nannicini(a)unifi.it or
elisa.prato(a)unifi.it
---------- Forwarded message ---------
Da: Max Riestenberg <mriestenberg(a)mathi.uni-heidelberg.de>
Date: Gio 13 Lug 2023, 17:24
Subject: September conference in Heidelberg
To:
Cc: Heller, Julia (IAG) <julia.heller(a)kit.edu>, Levin Maier <
lmaier(a)mathi.uni-heidelberg.de>
Dear all,
We are organizing a conference for early career researchers in groups,
geometry and dynamics in Heidelberg this September. I was wondering if you
could circulate the announcement to grad students and postdocs? The
deadline to register is July 24.
Thanks!
Max Riestenberg
Information below:
--------------------------
We are pleased to announce that the registration
<https://www.groups-and-spaces.kit.edu/740.php> for the RTG conference "Diverse
aspects of groups, geometry and dynamics
<https://www.groups-and-spaces.kit.edu/732.php>" is now open. The
conference will take place *September 18-20, 2023 in Heidelberg* at the
Mathematikon.
The conference will consist of three minicourses and several research
talks. The tentative list of speakers is below:
Minicourses
Viveka Erlandsson, University of Bristol, UK
Anne Parreau, Institut Fourier, Université Grenoble Alpes, France
Yulan Qing, Shanghai Center for Mathematical Sciences, Fudan University,
China
Research Talks
Johanna Bimmermann, Ruhr-Universität Bochum, Germany
María Cumplido Cabello, Universidad de Sevilla, Spain
Arielle Leitner, Weizmann Institute of Science and Afeka College of
Engineering, Israel
Rylee Lyman, Rutgers University–Newark, USA
Marta Magnani, Ruprecht-Karls-Universität Heidelberg, Germany
Sara Maloni, University of Virginia, USA
Silvia Sabatini, Universität zu Köln, Germany
Sheila Sandon, IRMA, Université de Strasbourg, France
Neza Zager Korenjak, University of Texas at Austin, USA
We may have limited funding for young participants. The deadline for
registration is *July 24*.
Best regards,
Max Riestenberg
Julia Heller
Levin Maier
---------- Forwarded message ---------
From: wagner(a)imj-prg.fr <wagner(a)imj-prg.fr>
Date: Mon, Jul 3, 2023 at 3:43 PM
Subject: [gdrtresses] Research Fellow in Representation Theory and/or Low
Dimensional Topology (one or two positions available) at Leeds.
To: gdrtresses(a)listes.math.cnrs.fr <gdrtresses(a)listes.math.cnrs.fr>
Research Fellow in Representation Theory and/or Low Dimensional Topology
(one
or two positions available) at Leeds.
We are looking for one or two Postdoctoral Research Fellows to work on the
EPSRC Programme Grant: "Combinatorial Representation Theory: Discovering the
Interfaces of Algebra with Geometry and Topology".
Apply here https://jobs.leeds.ac.uk/Vacancy.aspx?ref=EPSMA1084
The project is led by the 6 Investigators: Professor Karin Baur, principal
investigator, together with co-investigators Professor Eleonore Faber, Dr
Joao Faria Martins, Professor Bethany Marsh, Professor Paul Martin and Dr
Alison Parker.
The vision of the Programme Grant is to develop a broad and holistic theory
of representation theory, engaging and unifying diverse perspectives, from
algebra, geometry and topology to physics, life sciences and engineering,
enabling a cross-discipline transfer of ideas. Our aim is thus to develop a
unifying representation theory, which acts as a conduit for cross-
fertilization between these disciplines.
The Programme grant is organised around the Themes, T1 – T4, below:
T1. Algebras bridging between combinatorics and geometry;
T2. Mutation of algebraic and geometric structures;
T3. Algebraic geometry of Grassmannians and moduli spaces;
T4. Computations for Physics.
For list of Work Packages, including how they are organised into Themes, we
refer to our Research Webpage.
An ability to work on Theme 1 and / or Theme 4 is preferred for this call.
In
particular, preference will be given to candidates with expertise in one or
more of the following areas: diagram algebras, Hecke algebras, Brauer
algebras, homological algebra, algebraic groups, (extended) topological
quantum field theory, topological quantum computing, and geometric topology.
An ability to work across different work packages, and moreover facility in
establishing connections between different themes is a strong plus.
The Programme grant is flexible and applications from candidates with the
potential to work on any of the themes or work packages will be considered.
The Programme Grant team is committed to Equality, Diversity, and
Inclusion,
and to an environment free of any type of discrimination, and where everyone
can reach their full potential. As a group, we will strive to support the
career development of the postdoctoral research fellows that we recruit,
and
to provide them with the optimal environment, including the flexibility, to
support their development as the future generation of world-leading
researchers.
The School of Mathematics also offers a number of family-friendly
employment
practices that are designed to enable a good work-life balance and to be
responsive to support personal circumstances. In many roles we offer
flexible
working and part-time working, and we have a range of services to help
support
staff through work and personal challenges.
What we offer in return
26 days holiday plus approx.16 Bank Holidays/days that the University
is
closed by custom (including Christmas) – That's 42 days a year!
Generous pension scheme plus life assurance – the University
contributes
21.6% of salary.
Health and Wellbeing: Discounted staff membership options at The Edge,
our state-of-the-art Campus gym, with a pool, sauna, climbing wall, cycle
circuit, and sports halls.
Personal Development: Access to courses run by our Organisational
Development & Professional Learning team, and self-development courses
including languages, Creative Writing, Wellbeing Therapies and much more.
Access to on-site childcare, shopping discounts and travel schemes are
also available.
And much more!
To explore the post further or for any queries you may have, please
contact:
Karin Baur, Professor (Principal Investigator)
Email: K.U.Baur(a)leeds.ac.uk
OR
João Faria Martins, Associate Professor (Co-investigator)
Email: J.FariaMartins(a)leeds.ac.uk
OR
Paul Martin, Professor, (Co-investigator)
Email: P.P.Martin(a)leeds.ac.uk
Apply here https://jobs.leeds.ac.uk/Vacancy.aspx?ref=EPSMA1084