Entrance hall of the ICMS

Birational Geometry

Dec 06, 2010 - Dec 10, 2010

ICMS, 15 South College Street Edinburgh

Organisers

Name Institution
Birkar, Caucher University of Cambridge
Cheltsov, Ivan University of Edinburgh

PLEASE NOTE THE CHANGE OF VENUE FOR THIS WORKSHOP:

MONDAY 6 DECEMBER REGISTRATION AND THE WORKSHOP WILL TAKE PLACE AT ICMS HEADQUARTERS AT 15 SOUTH COLLEGE STREET 

TUESDAY - FRIDAY THE WORKSHOP WILL TAKE PLACE IN THE LECTURE THEATRE, HUGH ROBSON BUILDING, GEORGE SQUARE

 

In the conference, we hope to explore recent progress, current outstanding problems, and future directions of birational geometry. Informal discussions will be an essential part of the meeting while formal talks serving mainly as a framework.

This workshop will be held in honour of Vyacheslav V. Shokurov's 60th birthday. Further details regarding Vyacheslav V. Shokurov's work can be found here with a link to the Maths Genealogy Project here. Background reading and other information can be found here. (ICMS is not responsible for the content of external Internet sites.)

Arrangements

Participation
Participation is by invitation only. The workshop will begin on Monday morning 6 December and finish on Friday afternoon 10 December 2010.

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 be held at ICMS 15 South College Street and Hugh Robson Building, George Square Registration, talks, lunch and post-workshop drinks on Monday will be held at ICMS, 15 South College Street. All talks on Tuesday, Wednesday, Thursday and Friday will take place at the Hugh Robson Building. 

Wireless Access
At 15 South College Street
ICMS at 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network.  For those without laptops, there are a number of computers available for you to check your emails. Delegates are welcome to make use of the public areas at 15 South College Street throughout the week.

Travel
Information about travel to the UK and Edinburgh is available here. Lothian buses charge 1.20 GBP for a single journey and 3.00 GBP for a day ticket. Please note that the exact fare is required and no change is given.

A taxi directly from the airport will cost approximately 18.00 to 20.00 GBP to the city centre for a one-way journey.

From the airport, you can take the airport bus Airlink to the city centre. It will cost you 3.50 GBP for a single ticket, or 6.00 GBP return. More details on the airport bus Airlink is available here. The bus will take you to Waverley Bridge (next to Waverley Railway Station).

If travelling by train, please note that Edinburgh has two railway stations - Waverley Railway Station being the main station and closest to the workshop venue at ICMS and George Square. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge map. The second railway station is called Haymarket and is at the West End of the city centre.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.

Accommodation
If your invitation included the offer of accommodation, then ICMS will arrange this and details will be in your letter of invitation. ICMS has reserved rooms for all delegates in an hotel and University of Edinburgh en suite accommodation. All accommodation is a fifteen minute walk from ICMS. Please indicate on your booking form if you wish to take up the offer of these rooms or make your own arrangements.

A list of Edinburgh accommodation of various types and prices is available here .

Meals and Refreshments
Morning and afternoon refreshments will be provided on each day of the workshop.

A buffet lunch will be provided at ICMS in the Chapterhouse on the ground floor of 15 South College Street on Monday 6 December.

The workshop dinner will take place on Wednesday 8 December at 19.00 in The Magnum Restaurant, 1 Albany Street, Edinburgh, EH1 3PY.

The workshop grant will cover the cost of this catering.

Registration
Registration will take place 08.30 - 09.00 on Monday 6 December  at ICMS, 15 South College Street Edinburgh EH8 9AA

Financial Arrangements
Your individual financial arrangements will be laid out in your invitation and repeated in your final email, which will be sent shortly before the workshop.

If we have agreed to pay some of your travel costs, details will be in your invitation letter. 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.

Unless otherwise stated in your invitation email, there will be a registration fee of 30.00 GBP for the workshop. We ask that this is paid in advance by using this credit or debit card payment form. The form should be printed out, completed and faxed back (as email is not a secure way of sending credit card information). The fax number is on the form. If it is not possible for you pay in advance, you may print out the credit/debit card form above and bring the completed form along to Registration. We prefer not to handle cash at Registration.

 

Programme

 

 

Monday 6 December

 

ICMS, 15 South College Street, Edinburgh

08.30 - 09.00

Registration at ICMS

09.00 - 09.50

James McKernan (Massachusetts Institute of Technology)
Birational boundedness

10.00 - 10.30

Coffee/Tea, the Chapterhouse (ground floor)

10.30 - 11.20

Burt Totaro (University of Cambridge)
Partially positive line bundles

11.30- 12.20

Mihai Paun (Universite Nancy)
Non-vanishing and metric properties of adjoint bundles

13.00 - 14.00

Lunch provided in the Chapterhouse (ground floor)

14.00 - 14.50

Hajime Tsuji ( Sophia University)
External constructions of canonical metrics and a conjectural approach for the abundance

15.00 - 15.30

Coffee/Tea, the Chapterhouse (ground floor)

15.30 - 15.40

LMS meeting

15.40 - 16.30

Yujiro Kawamata (Univeristy of Tokyo)
Survey of the abundance conjecture

16.40- 17.30

Yum-Tong Siu (Harvard University)
Recent and historical analytic techniques for algebro-geometric problems

18.00 - 19.30

Wine Reception, the Chapterhouse (ground floor) With the generous support of the London Mathematical Society

 

Tuesday 7 December

 

 Hugh Robson Building, George Square

09.00 - 09.50

Fedor Bogomolov (Courant Institute of Mathematical Sciences)
Universal spaces in birational geometry

10.00 - 10.30

Coffee/Tea (Peter's Yard - two minute walk)

10.30 - 11.20

Mircea Mustata (University of Michigan)
Invariants of singularities in zero and positive characteristic

11.30 - 12.20

Kenji Matsuki (Purdue University)
Resolution of singularities of an ideal in positive characteristic in dimension three

12.30 - 14.00

Lunch break

14.00 - 14.50

Vlacheslav Nikulin (University of Liverpool)
The transition constant for arithmetic hyperbolic reflection groups

15.00 - 15.30

Coffee/Tea (Peter's Yard - two minute walk)

15.30 - 16.20

Yuri Zarhin (Pennsylvania State University)
Hodge classes on certain hyperelliptic prymians

16.30 - 17.20

Slava Shokurov (Johns Hopkins University)
Moduli and birational geometry

18.00

Wine reception, ICMS 15 South College Street

 

Wednesday 8 December

 

  Hugh Robson Building, George Square

09.00 - 09.50

Shing-Tung Yau (Harvard University)
Geometry of moduli space of Kahler-Einstein manifolds

10.00 - 10.30

Coffee/Tea  (Peter's Yard - two minute walk)

10.30 - 11.20

Jean-Pierre Demailly (Universite de Grenoble 1)Holomorphic morse inequalities and the Green-Griffiths-Lang conjecture

11.30 - 12.20

Ludmil Katzarkov (University of Miami)
Gaps, spectra and applications

12.30 - 14.00

Lunch break

14.00 - 14.50

Simon Donaldson (Imperial College London)
Discussion of the Kahler-Einstein problem

15.00 - 15.30

Coffee/Tea (Peter's Yard - two minute walk)

15.30 - 16.20

Shigefumi Mori ( Kyoto University)
Three dimensional q-conic bundles and related topics (joint work with Yuri Prokhorov)

16.30 - 17.20

Claire Voisin (Institute de Mathematiques Jussieu)
Integral Hodge classes, unramified cohomology and birational invariants

19.00

Workshop dinner, The Magnum Restaurant, 1 Albany Street

 

Thursday 9 December

    Hugh Robson Building, George Square

09.00 - 09.50

Valery Alexeev (University of Georgia)
Explicit compactifications of moduli of varieties of general type

10.00 - 10.30

Coffee/Tea (Peter's Yard - two minute walk)

10.30 - 11.20

Yuri Prokhorov (Moscow State University)
On the classification of singular Fano threefolds

11.30 - 12.20

Alessio Corti (Imperial College London)
Finite generation of the canonical ring and the Mori program

12.30 - 14.00

Lunch break

14.00 - 14.50

Fabrizio Catanese
Explicit description of certain moduli spaces of surfaces of genus 0. Extended Burniat surfaces and deformations of automorphisms.

15.00 - 15.30

Coffee/Tea (Peter's Yard - two minute walk)

15.30 - 16.20

Alexander Kuznetsov (Steklov Institute, Moscow)
Derived categories of Enriques surfaces and quartic double solids

16.30 - 17.20

Victor Kulikov(Steklov Institute, Moscow)
On non-rationality of cubic fourfolds

 

Friday 10 December

 

  Hugh Robson Building, George Square

09.00 - 09.50

Jun-Muk Hwang (Korea Institute of Advanced Study)
Syzygies of compact complex hyperbolic manifolds

10.00-10.30 Coffee/Tea

10.30- 11.20

Osamu Fujino (Kyoto University)
Minimal model theory for log surfaces

11.30 - 12.20

Stephane Lamy (University of Warwick)
The Cremona group is not a simple group

  Lunch
14.00 - 14.50 Alexander Tikhomirov (Yaroslavl State Pedagogical University)
Rationality of the moduli space of mathematical instantons
15.00 - 15.30 Coffee/Tea
15.30-16.20

Yuji Sano (Kyushu University)
Alpha-invariant and k-stability of ano varieties

16.30 - 17.20 Miles Reid (University of Warwick)
Codimension 4 Gorenstein rings
  Workshop closes

 

 

Participants

Name Institution
Ahmadinezhad, Hamid University of Basel
Alexeev, Valery University of Georgia
Ambro, Florin Institute of Mathematics of the Romanian Academy
Bandman, Tatiana Bar Ilan University
Birkar, Caucher University of Cambridge
Bogomolov, Fedor Courant Institute
Boucksom, Sébastien CNRS, Université Paris 6
Bradfield, Philip University of Wolverhampton (retired)
Broustet, Amael University Lille 1
Budur, Nero University of Notre Dame
Campana, Frederic Institut Élie Cartan Nancy
Cascini, Paolo Imperial College London
Cheltsov, Ivan University of Edinburgh
Chen, Yifei Institute of Mathematics, Chinese Academy of Sciences
Choi, Sung Rak University of California, Riverside
Corti, Alessio Imperial College London
Cutrone, Joseph Johns Hopkins University
de Fernex, Tommaso University of Utah
Demailly, Jean-Pierre Université de Grenoble I
Donaldson, Simon Imperial College London
Fesenko, Ivan University of Nottingham
Fujino, Osamu Department of Mathematics, Faculty of Science, Kyoto University
Galkin, Sergey IPMU, University of Tokyo
Gasparim, Elizabeth University of Edinburgh
Gongyo, Yoshinori University of Tokyo
Gorinov, Alexey University of Liverpool
Guletskii, Vladimir University of Liverpool
Hwang, Jun-Muk Korea Institute for Advanced Study
Jung, Seung-Jo University of Warwick
Kaloghiros, Anne-Sophie DPMMS, University of Cambridge
Katzarkov, Ludmil University of Miami
Kawakita, Masayuki Kyoto University
Kawamata, Y University of Tokyo
Kirschner, Tim Universität Bayreuth
Kosta, Dimitra University of Edinburgh
Kulikov, Victor Steklov Mathematical Institute
Kuznetsov, Alexander Steklov Mathematical Institute
Lamy, Stéphane University of Warwick
Marshburn, Nicholas Johns Hopkins University
Martinez Garcia, Jesus University of Edinburgh
Matsuki, Kenji Purdue University
Matsushita, Daisuke Hokkaido University
McKernan, James Massachusetts Institute of Technology
Mori, Shigefumi RIMS, Kyoto University
Mustata, Mircea University of Michigan
Nikulin, Viacheslav University of Liverpool
Panov, Dmitri King's College London
Park, Jihun Pohang University of Science and Technology
Paun, Mihai Korea Institute for Advanced Science
Prokhorov, Yuri Moscow State University
Przyjalkowski, Victor Steklov Institute
Reid, Miles University of Warwick
Sakovics, Dmitrijs University of Edinburgh
Sankaran, Gregory University of Bath
Sano, Taro University of Warwick
Sano, Yuji Kyushu University
Shepherd-Barron, Nick University of Cambridge
Shokurov, Vyacheslav Johns Hopkins University & Steklov Institute of Mathematics
Shramov, Constantin Steklov Mathematical Institute
Siu, Yum-Tong Harvard University
Takayama, Yukihide Department of Mathematical Sciences, Ritsumeikan University
Tikhomirov, Alexander Yaroslavl State Pedagogical University
Totaro, Burt University of Cambridge
Tsuji, Hajime Sophia University
Voisin, Claire Institut de Mathematiques de Jussieu
Wemyss, Michael University of Edinburgh
Wilson, Andrew University of Edinburgh
Wilson, Pelham University of Cambridge
Yau, Shing-Tung Harvard University
Zarhin, Yuri Pennsylvania State University