Entrance hall of the ICMS

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.

 

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)
Models of matter?

11.00-12.00

John Jones (University of Warwick)
The Kervaire invariant

12.00-14.30

Lunch provided in the Exhibition Room, 14 India Street

14.30-15.30

Chiu-Chu Liu (Columbia University )
The coherent-constructible correspondence for toric orbifolds

15.30-16.30

Ludmil Katzarkov (University of Miami)
Noncommutative Hodge theory and applications

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)
Effective field theory:  or, why don't we need to know quantum chromodynamics to build a radio?

11.00-12.00

Oren Ben Bassat (University of Haifa)
Gerbes and the holomorphic Brauer group of complex tori   pdf of presentation

12.00-14.30

Lunch break

14.30-15.30

Constantin Teleman (UC Berkeley)
Gauged TQFT's in 2 dimensions and the Brauer group of K-theory

15.30-16.30

Christian Saemann  (Heriot-Watt University)
M2-branes ending on M5-branes


Wednesday 16 June 2010

10.00-11.00

Andrew Nietzke (University of Texas at Austin)
Effective field theories in string theory:  or, what do strings have to do with black holes?

11.00-12.00

Nigel Hitchin (University of Oxford)
Generalized holomorphic bundles and the B-field action

12.00-13.00

Emanuel Diaconescu (Rutgers University)
Wallcrossing and cohomology of Hitchin moduli spaces

13.00

Free afternoon


Thursday 17 June 2010

10.00-11.00

Andrew Nietzke (University of Texas at Austin)
Mathematical applications of effective field theory:  or, why don't we need to know Donaldson theory to calculate a Donaldson invariant?

11.00-12.00

Peter Dalakov (University of Massachusetts - Amherst)
On deformations of the uniformising Higgs bundles

12.00-14.30

Lunch break

14.30-15.30

Joan Simón (University of Edinburgh)
Holography: Boltzmann, Shannon & Cardy meet Bekenstein & Hawking 
pdf of presentation

15.30-16.30

Philip Candelas (University of Oxford)
A three-generation Calabi-Yau manifold with small Hodge numbers

19.00

Workshop dinner at Magnum Restaurant, 1 Albany Street


Friday 18 June 2010

10.00-11.00

Richard Szabo (Heriot-Watt University)
Instantons on noncommutative toric varieties   pdf of presentation

11.00-12.00

Alexander Braverman
A finite analog of the AGT relation

12.00-14.30

Lunch provided in the Exhibition Room, 14 India Street

14.30-15.30

Dennis Gaitsgory (Harvard University)
Geometric Eisenstein series; some new developments

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 Down
Ben Bassat, Oren
Gerbes and the holomorphic Brauer group of complex tori
View Abstract Down
Braverman, Alexander
A finite analog of the AGT relation
View Abstract Down
Candelas, Philip
A three-generation Calabi-Yau manifold with small Hodge numbers
View Abstract Down
Dalakov, Peter
On deformations of the uniformising Higgs bundles
View Abstract Down
Diaconescu, Emanuel
Wallcrossing and cohomology of Hitchin moduli spaces
View Abstract Down
Gaitsgory, Dennis
Geometric Eisenstein series; some new developments
View Abstract Down
Hitchin, Nigel
Generalized holomorphic bundles and the B-field action
View Abstract Down
Jones, John
The Kervaire invariant
View Abstract Down
Katzarkov, Ludmil
Noncommutative Hodge theory and applications
View Abstract Down
Liu, Chiu-Chu
The coherent-constructible correspondence for toric orbifolds
View Abstract Down
Sämann, Christian
M2-branes ending on M5-branes
View Abstract Down
Simón, Joan
Holography: Boltzmann, Shannon & Cardy meet Bekenstein & Hawking
View Abstract Down
Szabo, Richard
Instantons on noncommutative toric varieties
View Abstract Down
Teleman, Constantin
Gauged TQFT's in 2 dimensions and the Brauer group of K-theory
View Abstract Down

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