Entrance hall of the ICMS

Positivity in algebraic and complex geometry

Apr 24, 2017 - Apr 28, 2017

ICMS, 15 South College Street

Organisers

Name Institution
Greb, Daniel Universität Duisburg-Essen
Kovács, Sándor University of Washington, Seattle
Küronya, Alex Goethe-Universität Frankfurt
Ross, Julius University of Cambridge

 

The workshop will focus on notions of positivity for line bundles and vector bundles of higher rank, with applications to moduli theory. These concepts will be discussed by experts from a variety of backgrounds including algebraic geometry, complex geometry and symplectic geometry, enabling both significant progress in each of the represented areas as well as developing connections between them. It will introduce younger participants to the state-of-the-art as well as open questions in this highly active area of modern mathematics.

Arrangements

This  workshop will commence with registration at 08:45 on Monday 24 April  and  will close on  Friday 28 April at 13:00.

Participation:
INVITED PARTICIPANTS: 
You will have received an invitation email from ICMS in November 2017.

 

Registration Fee:
A registration fee of 100 GBP is payable by all participants (excluding Organisers).  Payment can be made on arrival at ICMS - at Registration we will accept cash, credit/debit card payments and sterling cheques (payable to “Heriot-Watt University”).  Unfortunately, we do not yet have an on-line payment system at ICMS

 

Venue
The workshop will be held at 15 South College Street, Edinburgh.  You may also find this map useful for the workshop. 

 

Talks and Audio/Visiual Equipment
All lectures will be held in the Newhaven Lecture Theatre.  The lecture theatre has a built in computer, data projector, and visualiser/document camera.  In addition, there are two blackboards.  The projector and one board may be used simultaneously.  We advise Speakers that, where possible, you bring your talk on a memory stick/USB to put onto our computer in advance of your session - either at the start of the day or during coffee/lunch breaks.   ICMS staff can help with this.   It is possible for you to use your own laptops but it is then your own responsibility to ensure that resolutions are changed on the laptops if necessary (ICMS will not change the resolution on our equipment).   If you use a MAC we expect you to bring your own adaptor.

 

Travel
Information about travel to the UK and Edinburgh is available here.

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

A taxi directly from the airport will cost approximately 16.00 to 20.00 GBP to the city centre for a one-way journey.  There is also a bus service direct from the airport to the city centre which will cost 4.00 single or 7.00 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.60 for a single, £4.00 for a day ticket.  Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has several railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge.  The other railway stations are Haymarket and Edinburgh Park at the West End of the city centre.

 

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.

 

Accommodation
You will receive details of your accommodation in due course.

 

Catering
The workshop grant will cover refreshments throughout the event, lunch on three days, and an informal wine reception on Monday evening. The workshop dinner will be held at 19.00 on Thursday 27 April  2017 at Blonde Restaurant, 75 St Leonard's Street, Edinburgh.  

 

 


Programme

This is a provisional programme and may be subject to change.

 

Monday 24 April

08:45-09:30

Registration in the Chapterhouse, Level 1

09:30-10:30

Arend  Bertram (University of Utah)                   
Finite quot schemes

10:30-11:00

Tea/Coffee in the Chapterhouse, Level 1

11:00-12:00

Ana-Maria Castravet (Northeastern University)
The derived category of moduli spaces of stable rational pointed curves

12:00-13:00

Vladimir Lazic (Universitat Bonn)
On the nonvanishing conjecture

13:00-14:30

Lunch provided in the Chapterhouse, Level 1

14:30-15:30

Brian Lehmann (Boston College)
The geometric constants in Manin's conjecture

15:30-16:00

Tea/Coffee in the Chapterhouse, Level 1

16:00-17:00

Emanuele Macri (Northeastern University)
Derived categories of cubic fourfolds and non-commutative K3 surfaces

17:00-18:30

Informal wine reception in the Chapterhouse, Level 1

 Tuesday 25 April

09:30-10:30

Andreas Hoering (Nizza)
The fundamental group of compact Kähler threefolds

10:30-11:00

Tea/Coffee in the Chapterhouse, Level 1

11:00-12:00

David Witt Nyström (Chalmers)
Okounkov bodies and the Kähler geometry of projective manifolds

12:00-14:00

Lunch provided in the Chapterhouse, Level 1

14:00-14:30

Jesus Marinez Garcia (Institution)
Positivity of the twisted CM line bundle for log pairs

14:30-14:45

Break

14:45-15:15

Ruadhai Dervan (University of Cambridge)
A Harder-Narasimhan filtration for unstable Fano varieties

15:15-16:00

Tea/Coffee in the Chapterhouse, Level 1

16:00-16:30

Tristan Collins (Harvard University)
To follow

 Wednesday 26 April

09:30-10:30

Chenyang Xu (MIT)
Stability on valuations of a singularity

10:30-11:00

Tea/Coffee in the Chapterhouse, Level 1

11:00-12:00

Zsolt Patakfalvi (Lausanne University)
To follow

12:00-13:00

Lawrence Ein (University of Illinois at Chicago)
To follow

13:00

Free afternoon (Lunch will not be provided)

 

Thursday 27 April

09:30-10:30

Paolo Cascini (Imperial College London)
Relative semi-ampleness in positive characteristic

10:30-11:00

Tea/Coffee in the Chapterhouse, Level 1

11:00-12:00

Anne-Sophie  Kaloghiros (University of Brunel)
Volume preserving birational maps between tori

12:00-14:00

Lunch provided in the Chapterhouse, Level 1

14:00-14:30

Mihai  Fulger (Lausanne University)
Positive cones of numerical cycle classes

14:30-14:45

Break

14:45-15:15

Victor Lozovanu (Hannover University)
Syzygies on algebraic surfaces

15:15-16:00

Tea/Coffee in the Chapterhouse, Level 1

16:00-16:30

Catriona  Maclean (University of Grenoble)
To follow

19:00

Workshop Dinner (Venue TBC)

 Friday 28 April

09:30-10:30

Stefan Kebekus (University of Freiburg)
Varieties with vanishing first Chern class

10:30-11:00

Tea/Coffee in the Chapterhouse, Level 1

11:00-12:00

John Ottem (University of Oslo)
Nef cycles which fail to be pseudoeffective

12:00-13:00

Mihnea Popa (Northwestern University)
Positivity for direct images of pluricanonical bundles

13:00

Close of workshop (Lunch will not be provided)

 

 

 

Presentations:

Presentation Details
Bertram, Aaron
Finite quot schemes
View Abstract Down
Cascini, Paolo
Relative semi-ampleness in positive characteristic
View Abstract Down
Castravet, Ana-Maria
The derived category of moduli spaces of stable rational pointed curves
Collins, Tristan
To follow
View Abstract Down
Dervan, Ruadhaí
A Harder-Narasimhan filtration for unstable Fano varieties
View Abstract Down
Ein, Lawrence
To follow
View Abstract Down
Fulger, Mihai
Positive cones of numerical cycle classes
View Abstract Down
Höring, Andreas
The fundamental group of compact Kähler threefolds
View Abstract Down
Kaloghiros, Anne-Sophie
Volume preserving birational maps between tori
View Abstract Down
Kebekus, Stefan
Varieties with vanishing first Chern class
View Abstract Down
Lazić, Vladimir
On the nonvanishing conjecture
View Abstract Down
Lehmann, Brian
The geometric constants in Manin's conjecture
View Abstract Down
Lozovanu, Victor
Syzygies on algebraic surfaces
View Abstract Down
Maclean, Catriona
To follow
View Abstract Down
Macrì, Emanuele
Derived categories of cubic fourfolds and non-commutative K3 surfaces
View Abstract Down
Martinez Garcia, Jesus
Positivity of the twisted CM line bundle for log pairs
View Abstract Down
Ottem, John
Nef cycles which fail to be pseudoeffective
View Abstract Down
Popa, Mihnea
Positivity for direct images of pluricanonical bundles
View Abstract Down
Witt Nyström, David
Okounkov bodies and the Kähler geometry of projective manifolds
View Abstract Down
Xu, Chenyang
Stability on valuations of a singularity
View Abstract Down

Participants

Name Institution
Bayer, Arend University of Edinburgh
Beentjes, Sjoerd University of Edinburgh
Bernasconi, Fabio Imperial College
Bertram, Aaron University of Utah
Buczyński, Jarosław University of Warsaw
Cascini, Paolo Imperial College London
Castravet, Ana-Maria Northeastern University
Cheltsov, Ivan University of Edinburgh
Collins, Tristan Harvard
Craw, Alastair University of Bath
Dervan, Ruadhaí University of Cambridge
Eckl, Thomas University of Liverpool
Ein, Lawrence University of Illinois at Chicago
Feyzbakhsh, Soheyla University of Edinburgh
Fulger, Mihai EPFL
Gounelas, Frank Humboldt
Greb, Daniel Universität Duisburg-Essen
Hein, Georg Universitat Duisburg-Essen
Hering, Milena University of Edinburgh
Höring, Andreas Université Nice Sophia Antipolis
Jardim, Marcos IMECC - UNICAMP
Jung, Seung-Jo KIAS
Kaloghiros, Anne-Sophie Brunel University London
Kebekus, Stefan University of Freiburg
Kirschner, Tim Universität Duisburg-Essen
Kovács, Sándor University of Washington, Seattle
Kubiliute, Kristina Kings College London
Küronya, Alex Goethe-Universität Frankfurt
Lazić, Vladimir Universität Bonn
Lehmann, Brian Boston College
Lozovanu, Victor Leibniz Universität Hannover
Maciocia, Antony University of Edinburgh
Maclean, Catriona Grenoble
Macrì, Emanuele Northeastern University
Martens, Johan University of Edinburgh
Martinelli, Diletta University of Edinburgh
Martinez Garcia, Jesus Max Planck Institute for Mathematics
Mauri, Mirko Imperial College
Mazzon, Enrica Imperial College London
Naumann, Philipp Universität Marburg
Ottem, John University of Oslo
Pareschi, Giuseppe University of Rome Tor Vergata
Patakfalvi, Zsolt École polytechnique fédérale de Lausanne
Piwatz, Anna Universitat Duisburg-Essen
Popa, Mihnea Northwestern
Prendergast-Smith, Artie Loughborough University
Ross, Julius University of Cambridge
Svaldi, Roberto SISSA
Toma, Matei Université de Lorraine
Tran, Bach University of Edinburgh
Urbinati, Stefano Politecnico di Milano
Witaszek, Jakub Imperial College London
Witt Nyström, David Chalmers
Würthen, Matti Universitat Duisburg-Essen
Xu, Chenyang Peking University