Hodge theoretic reflections on the string landscape
Jun 14, 2010 - Jun 18, 2010
14 India Street, Edinburgh, EH3 6EZ
Organisers
Name | Institution |
---|---|
Freed, Dan | University of Texas at Austin |
Gasparim, Elizabeth | University of Edinburgh |
Pantev, Tony | University of Pennsylvania |
The workshop organisers will gather about 40 mathematicians and physicists, and the scientific goal is to pursue an in-depth understanding of the interactions between Hodge theory on the one hand and QFT and string theory on the other. This includes work relating to supersymmetric gauge theories with the geometric Langlands conjecture, the use of mixed Hodge theory to study the renormalization group flow, and the noncommutative Hodge structure uncovered in the theory of charges in boundary TQFTs. In addition, there are plans to have a series of expository lectures on scale in QFT.
The Report for this workshop is available here
Arrangements
Participation
Participation is by invitation only.
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 (on request) provide a signed invitation letter.
Venue
The workshop will take place at 14 India Street, Edinburgh, EH3 6EZ. 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. To find the location of the workshop venue follow this link to 14 India Street.
You may also find this map useful.
If you have been invited to give a presentation, the seminar room at 14 India Street 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. Alternatively, a pdf or PowerPoint file may be emailed to Audrey Brown by Thursday 10 June to be loaded onto the laptop in advance of the workshop.
Wireless access is available throughout the building. There are also 3 public PCs which may be used at any time for internet access and to check email.
Accommodation
ICMS will arrange en-suite rooms in hotels/guest houses nearby for those who request this. Accommodation is typically about a 20 minute walk from 14 India Street. Participants making their own arrangements may claim back the cost, with original receipts, up to a maximum of £65.00 per night bed and breakfast for a maximum of five or six nights. A list of Edinburgh accommodation of various sorts and prices is available here . Sections 1-3 are particularly relevant.
Registration
Registration will take place from 09.00 - 09.50 on Monday 14 June in the Exhibition Room at 14 India Street.
Minicourse Lecture Series
Professor Andrew Neitzke has kindly agreed to present a series of three talks as 'Minicourse Lectures'. Further information can be found in the Programme Section of this website (below).
The Hardy Lecture in Edinburgh
On Friday 18 June, all participants are invited to attend The Hardy Lecture, hosted by the Edinburgh Mathematical Society, where Hiraku Nakajima will talk at 16.30. This lecture will take place in Lecture Theatre 175, Old College, University of Edinburgh. Coffee will be available from 16.00 outside the lecture theatre.
Meals and Refreshments
Morning and afternoon refreshments will be provided on each day of the workshop.
On Monday 14 June and Friday 18 June, a light buffet lunch will be provided free of charge to participants in the Exhibition Room at 14 India Street. On the remaining days participants are free to explore the many cafés, sandwich shops, restaurants and bars nearby. There will be an informal evening meal provided on Monday 14 June in Ristorante Librizzi (Sicilian), and the Workshop Dinner will take place on the evening of Thursday 17 June at The Magnum Restaurant (Scottish). The workshop grant will cover the cost of this catering.
Financial Arrangements
Your individual financial arrangements will be laid out in your invitation email and the email received shortly before the workshop.
If we have agreed to pay some of your travel costs, you will have been informed by email. Reimbursement will take place after the workshop and will involve payment directly into your bank account. At Registration you will be given an expenses claim form and this should be submitted to ICMS, with original receipts. 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, their IBAN and SWIFT/BIC code. We cannot reimburse any item without a signed claim form and original receipts.
Please note the registration fee has been waived for ALL participants. We will no longer charge a registration fee for this workshop.
Programme
Minicourse Lecture Series
Professor Andrew Neitzke will present a series of three talks as 'Minicourse Lectures'. Provisional talk titles and abstracts are as follows but may yet be subject to change:
Talk 1: Effective field theory: or, why don't we need to know quantum chromodynamics to build a radio?
I will give a general account of what physicists mean by "effective field theory" and why it is a useful notion.
Talk 2: Effective field theories in string theory: or, what do strings have to do with black holes?
Practitioners of string theory frequently shift back and forth between the "microscopic" language of the string worldsheet and the "macroscopic" language of effective field theory. I will explain the distinction, with the aim of resolving the apparent contradictions between statements such as "string theory is a 2-dimensional QFT", "string theory solves the divergence problems of conventional QFT" and "string theory is described by 11-dimensional supergravity".
Talk 3: Mathematical applications of effective field theory: or, why don't we need to know Donaldson theory to calculate a Donaldson invariant?
Many of the deepest applications of quantum field theory to mathematics depend crucially on the notion of effective field theory. A spectacular example is the equivalence between Seiberg-Witten and Donaldson invariants. I will describe this example, and a few others more briefly as time permits.
Programme
Monday 14 June 2010
09.00-09.50 | Registration & coffee |
09.50-10.00 | Welcome & introduction |
10.00-11.00 | Michael Atiyah (University of Edinburgh) |
11.00-12.00 | John Jones (University of Warwick) |
12.00-14.30 | Lunch provided in the Exhibition Room, 14 India Street |
14.30-15.30 | Chiu-Chu Liu (Columbia University ) |
15.30-16.30 | Ludmil Katzarkov (University of Miami) |
16.30-18.45 | Wine reception at 14 India Street |
19.30 | Informal evening meal at Ristorante Librizzi, 69 North Castle Street |
Tuesday 15 June 2010
10.00-11.00 | Andrew Nietzke (University of Texas at Austin) |
11.00-12.00 | Oren Ben Bassat (University of Haifa) |
12.00-14.30 | Lunch break |
14.30-15.30 | Constantin Teleman (UC Berkeley) |
15.30-16.30 | Christian Saemann (Heriot-Watt University) |
Wednesday 16 June 2010
10.00-11.00 | Andrew Nietzke (University of Texas at Austin) |
11.00-12.00 | Nigel Hitchin (University of Oxford) |
12.00-13.00 | Emanuel Diaconescu (Rutgers University) |
13.00 | Free afternoon |
Thursday 17 June 2010
10.00-11.00 | Andrew Nietzke (University of Texas at Austin) |
11.00-12.00 | Peter Dalakov (University of Massachusetts - Amherst) |
12.00-14.30 | Lunch break |
14.30-15.30 | Joan Simón (University of Edinburgh) |
15.30-16.30 | Philip Candelas (University of Oxford) |
19.00 | Workshop dinner at Magnum Restaurant, 1 Albany Street |
Friday 18 June 2010
10.00-11.00 | Richard Szabo (Heriot-Watt University) |
11.00-12.00 | Alexander Braverman |
12.00-14.30 | Lunch provided in the Exhibition Room, 14 India Street |
14.30-15.30 | Dennis Gaitsgory (Harvard University) |
15.30 | Close of workshop |
16.30 | All participants are invited to attend the Hardy Lecture, hosted by the Edinburgh Mathematical Society, where Hiraku Nakajima will talk at 16.30. This will take place in Lecture Theatre 175, Old College, University of Edinburgh. Coffee will be available from 16.00. |
Presentations:
Presentation Details | |
---|---|
Atiyah, Sir Michael | |
Models of matter? | |
View Abstract | |
Ben Bassat, Oren | |
Gerbes and the holomorphic Brauer group of complex tori | |
View Abstract | |
Braverman, Alexander | |
A finite analog of the AGT relation | |
View Abstract | |
Candelas, Philip | |
A three-generation Calabi-Yau manifold with small Hodge numbers | |
View Abstract | |
Dalakov, Peter | |
On deformations of the uniformising Higgs bundles | |
View Abstract | |
Diaconescu, Emanuel | |
Wallcrossing and cohomology of Hitchin moduli spaces | |
View Abstract | |
Gaitsgory, Dennis | |
Geometric Eisenstein series; some new developments | |
View Abstract | |
Hitchin, Nigel | |
Generalized holomorphic bundles and the B-field action | |
View Abstract | |
Jones, John | |
The Kervaire invariant | |
View Abstract | |
Katzarkov, Ludmil | |
Noncommutative Hodge theory and applications | |
View Abstract | |
Liu, Chiu-Chu | |
The coherent-constructible correspondence for toric orbifolds | |
View Abstract | |
Sämann, Christian | |
M2-branes ending on M5-branes | |
View Abstract | |
Simón, Joan | |
Holography: Boltzmann, Shannon & Cardy meet Bekenstein & Hawking | |
View Abstract | |
Szabo, Richard | |
Instantons on noncommutative toric varieties | |
View Abstract | |
Teleman, Constantin | |
Gauged TQFT's in 2 dimensions and the Brauer group of K-theory | |
View Abstract |
Participants
Name | Institution |
---|---|
Atiyah, Sir Michael | University of Edinburgh |
Ben Bassat, Oren | University of Haifa |
Braden, Harry | University of Edinburgh |
Braun, Volker | University of Oxford |
Braverman, Alexander | Brown University |
Candelas, Philip | University of Oxford |
Dalakov, Peter | University of Massachusetts - Amherst |
de Medeiros, Paul | University of Edinburgh |
Diaconescu, Emanuel | Rutgers University |
Donagi, Ron | University of Pennsylvania |
Figueroa-O'Farrill, José | University of Edinburgh |
Freed, Dan | University of Texas at Austin |
Gaitsgory, Dennis | Harvard University |
Gasparim, Elizabeth | University of Edinburgh |
Gordon, Iain | University of Edinburgh |
Grama, Lino | University of Campinas |
Hitchin, Nigel | University of Oxford |
Jones, John | University of Warwick |
Kahle, Alexander | Georg-August University Göttingen |
Katzarkov, Ludmil | University of Miami |
Köppe, Thomas | University of Edinburgh |
Kovacs, Stefano | Dublin Institute for Advanced Studies |
Lakuriqi, Enka | University of Utah |
Liu, Chiu-Chu | Columbia University |
Martinez Garcia, Jesus | University of Edinburgh |
Nakajima, Hiraku | Kyoto University |
Neitzke, Andrew | University of Texas at Austin |
Pantev, Tony | University of Pennsylvania |
Ranicki, Andrew | University of Edinburgh |
Sämann, Christian | Heriot-Watt University |
Simón, Joan | University of Edinburgh |
Szabo, Richard | Heriot-Watt University |
Teleman, Constantin | UC Berkeley |
Valentino, Alessandro | Georg-August University Göttingen |
Wendland, Katrin | Universität Freiburg |