Workshop on Singularities
Organiser
Name | Institution |
---|---|
Goryunov, Victor | University of Liverpool |
Siersma, Dirk | Universiteit Utrecht |
Vassiliev, Victor | Steklov Institute, Moscow |
The purpose of the meeting is to bring together experts (both international leaders and promising young researchers) in geometrical and topological branches of Singularity Theory and in some adjacent areas where these branches find applications. The major aims of the workshop are to disseminate new results and ideas, to foster new developments within Singularity Theory and to look for new areas of application and interaction.
The following are likely to be major topics of the meeting:
- Global singularity theory: topology and geometry
- Connection between analytic and topological invariants of singularities
- Non-isolated singularities
- Singularities in differential geometry
- Computer packages on singularities
Numbers will be limited to a maximum of 40, there will be a contribution to local costs (including accommodation and subsistence) from awards to ICMS. A Registration Fee of £30 will be payable by all delegates.
Participation is by invitation only: those interested in attending should contact Victor Goryunov (goryunov@liv.ac.uk).
Arrangements
Participation
Participation is by invitation only. The workshop will begin on Monday 25 August and finish on Friday 29 May 2008.
UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one. If you do require a visa, ICMS can provide a signed invitation letter.
Venue
The workshop will take place at the head-quarters of ICMS, 14 India Street, Edinburgh. This house is the birthplace of James Clerk Maxwell and is situated in the historic New Town of Edinburgh, near the city centre.
The ICMS travel pages contain advice on how to travel to Edinburgh. For local information the finding ICMS page shows the location of ICMS and contains useful maps of the city centre.
The seminar room at ICMS has whiteboards, 2 overhead projectors, a data projector and laptop. We ask that you use our laptop for your presentation which you may bring on a memory stick or CD.
Wireless access is available throughout the ICMS building. There are also 7 public PCs which may be used at any time for internet access and to check email.
Accommodation
ICMS will arrange single en-suite rooms in local guest houses for those who require it. Accommodation is typically about 15 to 30 minutes walk from ICMS. Participants are also free to make their own arrangements and may claim back the cost, with receipts, up to a maximum of £60.00 per night bed and breakfast. A list of Edinburgh accommodation of various sorts and prices is available here . Sections 1-3 are particularly relevant.
Meals and Refreshments
A sandwich lunch will be provided on the first day of the workshop, Monday 25 August. For the remainder of the days, participants are free to go out for lunch and explore the many cafes, restaurants, sandwich shops and bars in the surrounding area. On arrival we will provide you with a ‘welcome’ pack which will contain information about eating places nearby.
Morning and afternoon refreshments will be provided throughout the workshop.
There will be an informal wine reception after the close of lectures on Monday 25 August.
The workshop dinner will take place on the evening of Thursday 28 August.
Registration
Registration will take place from 09.00 to 09.45 on Monday 25 August.
Financial Arrangements
Unless otherwise specified in your invitation letter, the workshop grant will cover the cost of your bed and breakfast accommodation, tea/coffee throughout the workshop, lunch on the first day, the wine reception and the Workshop Dinner on Thursday evening.
If we have agreed to pay some of your travel costs, you will be informed in the 'final information' email. Reimbursement will take place after the workshop. At Registration you will be given an expenses claim form and this should be submitted to ICMS, with receipts. Please note that we cannot reimburse any item without a receipt. It would be helpful if you could bring your bank details to the workshop. In addition to the bank account number, participants from the USA and Canada will require their bank’s routing number, those from the UK will be asked for the bank sort code, and those from Europe and the rest of the world should supply their IBAN and SWIFT/BIC code.
Under the terms of our EPSRC funding we are required to charge a 30.00 GBP registration fee to cover costs not admissible under the grant. The fee will be payable on arrival at the workshop payment may be by cash, sterling cheque or credit/debit card. If you anticipate any difficulty covering the fee, please let me know.
Programme
Monday 25 August
09.00 - 09.45 | Registration and coffee |
09.45 - 10.00 | Introduction and welcome |
10.00 - 11.00 | Duco van Straten (Johannes Gutenberg-Universität, Mainz) |
11.00 - 11.30 | Coffee/tea break |
11.30 - 12.30 | Mihai Tibar (Université de Lille 1) |
12.30 - 14.30 | Lunch provided in the Exhibition Room |
14.30 - 15.30 | Sabir Gusein-Zade (Moscow State University) |
15.30 - 16.00 | Coffee/tea break |
16.00 - 17.00 | Wolfgang Ebeling (Leibniz Universität Hannover) |
17.00 - 19.00 | Wine Reception in the Exhibition Room at ICMS |
Tuesday 26 August
09.00 - 10.00 | Maxim Kazarian (Steklov Institute of Mathematics) |
10.10 - 11.10 | Andras Szucs (Eötvös Loránd University) |
11.10 - 11.40 | Coffee/tea break |
11.40 - 12.40 | David Mond (University of Warwick) |
12.40 - 14.30 | Lunch |
14.30 - 15.30 | Bradford Hovinen(University of Toronto) |
15.30 - 16.00 | Coffee/tea break |
16.00 - 17.00 | Anne Fruehbis-Krueger (Leibniz Universität Hannover) |
19.00 | Informal evening meal at Nargile Turkish Restaurant, 73 Hanover Street |
Wednesday 27 August
09.00 - 10.00 | Grigory Mikhalkin (University of Toronto) |
10.10 - 11.10 | Ilia Itenberg (Université Louis Pasteur, Strasbourg) |
11.10 - 11.40 | Coffee/Tea |
11.40 - 12.40 | Ragnar-Olaf Buchweitz (University of Toronto Scarborough) |
12.40 | Lunch break and free afternoon |
Thursday 28 August
09.00 - 10.00 | Terry Wall (University of Liverpool) |
10.10 - 11.10 | Gert-Martin Greuel (University of Kaisersalautern) |
11.10 - 11.40 | Coffee/Tea |
11.40 - 12.40 | Alexey Gorinov (University of Liverpool) |
12.40 - 14.30 | Lunch break |
14.30 - 15.30 | Anna Pratoussevitch (University of Liverpool) |
15.30 - 16.00 | Coffee/Tea |
16.00 - 17.00 | Alejandro Melle Hernández (Universidad Complutense de Madrid) |
19.00 | Workshop dinner at First Coast Restaurant, 99-101 Dalry Road, Edinburgh |
Friday 29 August
09.30 - 10.30 | Ilya Tyomkin (Massachusetts Institute of Technology) |
10.30 - 11.00 | Coffee/Tea |
11.00 - 12.00 | Elizabeth Gasparim (University of Edinburgh) |
12.00 - 14.00 | Lunch break |
14.00 - 15.00 | Eugenii Shustin (Tel Aviv University) |
15.00 - 15.30 | Coffee/Tea |
15.30 - 16.30 | Vladimir Zakalyukin (University of Liverpool) |
Presentations
This talk will describe a new determinantal formula for the classical discriminant which is inequivalent to the classical formulae: the presentation matrix of the "open swallowtail" studied by Arnol'd and Givental. The associated matrix is smaller than that of any of the classical formulae and carries information on the root structure of the polynomial which the classical formulae cannot detect.
Some work on using deformation theory to classify determinantal formulae for the classical discriminant will also be described. In particular, by constructing versal deformations of maximal Cohen-Macaulay modules on certain curve singularities, it is possible to construct a moduli space of graded rank-1 MCM modules on the discriminant. A moduli space of such modules on the discriminant of degree 4 polynomials will be shown.
[1] A.Durfee, The monodromy of a degenerating family of curves, Inv. Math. (1975)
Using this results one can describe the topology of the moduli space: Any connected component of the space of m-spin structures on compact Riemann surfaces with finite number of punctures and holes is homeomorphic to a quotient of R^d by a discrete group action.
The more general classification of singular higher spin structures on Riemann surfaceas leads to results on quasi-homogeneous Gorenstein surface singularities.
intermediate role between standard right-left action and boundary preserving action. Some new interconnections of well known classifications be described.
Participants
Name | Institution |
---|---|
Fawaz, Alharbi | University of Liverpool |
Ayse, Altintas | University of Warwick |
Jean-Paul, Brasselet | Centre National de la Recherche Scientifique (CNRS) |
Ragnar-Olaf, Buchweitz | University of Toronto Scarborough |
Paul, Cadman | University of Warwick |
Andrew, du Plessis | Aarhus Universitet |
Wolfgang, Ebeling | Leibniz Universität Hannover |
Anne, Fruehbis-Krueger | Leibniz Universität Hannover |
Elizabeth, Gasparim | University of Edinburgh |
Alexey, Gorinov | University of Liverpool |
Victor, Goryunov | University of Liverpool |
Gert-Martin, Greuel | Mathematisches Forschungsinstitut Oberwolfach |
Sabir, Gusein-Zade | Moscow State University |
Joel, Haddley | University of Liverpool |
Helmut, Hamm | Westfälische Wilhelms-Universität Münster |
Bradford, Hovinen | University of Toronto |
Ilia, Itenberg | Université Pierre et Marie Curie (Paris 6) |
Maxim, Kazarian | Steklov Institute of Mathematics |
Remke, Kloosterman | Leibniz Universität Hannover |
Dũng Tráng, Lê | International Centre for Theoretical Physics (ICTP) |
Ignacio, Luengo | Universidad Complutense de Madrid |
Alejandro, Melle Hernández | Universidad Complutense de Madrid |
Grigory, Mikhalkin | Université de Genève |
David, Mond | University of Warwick |
Anna, Pratoussevitch | University of Liverpool |
Eugenii, Shustin | Tel Aviv University |
Dirk, Siersma | Universiteit Utrecht |
Jan, Stevens | Göteborgs Universitet |
Andras, Szucs | Eötvös Loránd University (ELTE) |
Mihai, Tibar | Université de Lille 1 |
Orsola, Tommasi | Leibniz Universität Hannover |
Ilya, Tyomkin | Massachusetts Institute of Technology |
Duco, van Straten | Johannes Gutenberg-Universität, Mainz |
Terry, Wall | University of Liverpool |
Vladimir, Zakalyukin | University of Liverpool |