Scientific Calendar Event



Description
A growing number of researchers use algebraic geometry in industrial and applied mathematics: applications include biology, coding theory, cryptography, combustion, computational geometry, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, nonlinear PDE, optimization, and robotics.

Algebraic Geometry of data clouds
- density of cloud data
- reach of a manifold and topological data analysis
- classical theory of polar classes of a variety
- the nearest points to a variety
- the EDD degree of a manifold and its properties
- the Bottleneck degree of varieties
 
Biochemical reaction networks modeled by mass-action kinetics
- basics on reaction networks with mass-action kinetics: biochemical notions, algebraic notions, dynamical notions 

- steady state invariants and computational algebraic geometry 

- networks with toric steady states 

- counting the number of positive steady states and real solutions to  polynomial 
systems 


Grants:

A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.

Women are particularly encouraged to apply.
Go to day
  • Monday, 1 July 2019
    • 08:30 - 17:00
      • 08:30 Administrative and Financial formalities 1h0' ( Leonardo Building Lobby )
        REGISTRATION: Upon arrival, Visitors not staying in the ICTP Guest Houses, are kindly requested to complete registration formalities at the Leonardo Building (Lobby) from 8.30 till 9.30
        
        TRAVEL UNIT (Only for those Visitors receiving daily living allowance/travel reimbursement)  
        Only after having completed registration formalities, please go to the Travel Unit, EF, Main Entrance, Room T17, ground floor, open two days:  Monday and Friday, 08.30 - 12.00 
        Please bring with you: badge/identity card or passport/any travel tickets and boarding passes, if reimbursement due.
      • 09:30 Opening remarks 10'
      • 09:40 Lecture 1: Algebraic models 1h30'
        Speaker: Sandra Di Rocco (KTH Royal Institute of Technology Stockholm)
      • 11:10 Coffee break 20' ( Leonardo Building Terrace )
      • 11:30 Lecture 1: Reaction networks with mass-action kinetics: biochemical notions, algebraic notions, dynamical notions 1h30'
        Speaker: Alicia Dickenstein (Universidad de Buenos Aires)
      • 13:00 Lunch break 1h30'
      • 14:30 Exercise/Software session 1 1h15'
      • 15:45 Coffee break 15' ( Leonardo Building Terrace )
      • 16:00 Contributed talk 1: "Parameter identifiability for a class of biochemical reaction networks" 30'
        Speaker: Gabriela Tali Jeronimo
      • 16:30 Contributed talk 2: "Polyhedral methods for chemical reaction networks" 30'
        Speaker: Nida Obatake
    • 19:30 - 21:30
      Location: Leonardo Building Terrace
      • 19:30 Welcome Reception 2h0'
        All participants are cordially invited to attend the welcome reception.
  • Tuesday, 2 July 2019
    • 09:00 - 17:00
      • 09:00 Lecture 2: Algebraic sampling 1h30'
        Speaker: Sandra Di Rocco (KTH Royal Institute of Technology Stockholm)
      • 10:30 Group Photo 5'
      • 10:35 Coffee break 25' ( Leonardo Building Terrace )
      • 11:00 Lecture 2: Steady state invariants 1h30'
        Speaker: Alicia Dickenstein (Universidad de Buenos Aires)
      • 12:30 Lunch break 1h30'
      • 14:00 Lecture 3: Classical projective invariants 1h30'
        Speaker: Sandra Di Rocco (KTH Royal Institute of Technology Stockholm)
      • 15:30 Coffee break 15' ( Leonardo Building Terrace )
      • 15:45 Exercise/Software session 2 1h15'
        Speaker: Sascha Timme
  • Wednesday, 3 July 2019
    • 09:30 - 14:00
      • 09:30 Lecture 4: Euclidean Distance Degree 1h30'
        Speaker: Sandra Di Rocco (KTH Royal Institute of Technology Stockholm)
      • 11:00 Coffee break 30' ( Leonardo Building Terrace )
      • 11:30 Lecture 3: Algebraic and combinatorial tools 1h30'
        Speaker: Alicia Dickenstein (Universidad de Buenos Aires)
      • 13:00 Lunch break 1h0'
    • 19:30 - 22:00
      Location:
      • 19:30 Conference Dinner 2h30'
  • Thursday, 4 July 2019
    • 09:00 - 16:45
      • 09:00 Lecture 5: Bottleneck Degree 1h30'
        Speaker: Sandra Di Rocco (KTH Royal Institute of Technology Stockholm)
      • 10:30 Coffee break 30' ( Leonardo Building Terrace )
      • 11:00 Lecture 4: The structure of enzymatic networks 1h30'
        Speaker: Alicia Dickenstein (Universidad de Buenos Aires)
      • 12:30 Lunch break 1h30'
      • 14:00 Exercise/Software session 3 1h15'
        Speaker: Madeleine Weinstein
      • 15:15 Coffee break 30' ( Leonardo Building Terrace )
      • 15:45 Contributed talk 3: "On the product of the singular values of a binary tensor" 30'
        Speaker: Luca Sodomaco
      • 16:15 Contributed talk 4: "3264 Conics in a Second" 30'
        Speaker: Sascha Timme
  • Friday, 5 July 2019
    • 09:00 - 16:00
      • 09:00 Lecture 5: Multistationarity 1h30'
        Speaker: Alicia Dickenstein (Universidad de Buenos Aires)
      • 10:30 Coffee break 30' ( Leonardo Building Terrace )
      • 11:00 Exercise/Software session 4 1h15'
      • 12:15 Contributed talk 5: "Voronoi Cells of Varieties" 30'
        Speaker: Madeleine Weinstein
      • 12:45 Lunch break 1h15'
      • 14:00 Contributed talk 6: "Logarithmic differential forms and applications" 30'
        Speaker: Aleksandr Aleksandrov
      • 14:30 Contributed talk 7: "The twisted cotangent bundle of a hyperkahler manifold" 30'
        Speaker: Fabrizio Anella
      • 15:00 Contributed talk 8: "Homotopy type of the moduli spaces of G-Higgs bundles: the real reductive case" 30'
        Speaker: Azizeh Nozad
      • 15:30 Contributed talk 9: "Circulant matrices and Galois-Togliatti systems" 30'
        Speaker: Pietro De Poi