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Week 1: June 25th - June 29th
Time Monday Tuesday Wednesday Thursday Friday
09:00 - 10:00 Opening Remarks Lecture 1
Free
Lecture 1
10:00 - 10:30 Coffee break Coffee break
10:30 - 11:00 Lecture 1
Lecture 2 Lecture 2
11:00 - 11:30
11:30 - 12:00 short break
12:00 - 13:00 Lecture 2 Lecture 3 Lecture 2
13:00 - 14:30 Lunch Lunch
14:30 - 15:00 Talk 2
15:00 - 15:30 Lecture 3 Free Talk 3 Talk 4
15:30 - 16:00 Coffee break
16:00 - 16:30 Talk 1
Coffee break Coffee break
16:30 - 17:00 Mini-talk 1 Mini-talk 2 Mini-talk 3
17:00 - 18:30 Exercises Exercises

Week 1: July 2nd - July 6th
Time Monday Tuesday Wednesday Thursday Friday
09:00 - 10:00 Lecture 4
10:00 - 10:30 Coffee break
10:30 - 11:30 Lecture 5
11:30 - 12:00 short break
12:00 - 13:00 Lecture 6
13:00 - 15:00 Lunch
15:00 - 16:00 Talk 5 Talk 6 Free Talk 7 Talk 8
16:00 - 16:30 Coffee break Coffee break
16:30 - 17:00 Mini-Talk 4 Mini-Talk 5 Mini-Talk 6 Mini-Talk 7
17:00 - 18:30 Exercises Exercises

Lectures

  1. Syzygies and monomial ideals
    Daniel Erman
    University of Wisconsin (USA)
  2. Combinatorics of binomial and toric ideals
    Fatemeh Mohammadi
    University of Bristol (UK)
  3. The role of algebraic statistics in estimation and modeling of random graphs and networks
    Sonja Petrovic
    Illinois Institute of Technology (USA)
  4. Algebraic geometric codes
    Trygve Johnsen
    Norges Arktiske Universitet (Norway)
  5. Algebraic statistics and philogenetic
    Seth Sullivant
    North Carolina State University (USA)
  6. Toric codes
    Johan Hansen
    Aarhus University (Denmark)
    Links: Notes, Slides.

Talks

  1. Tropical Geometry
    Diane Maclagan
    University of Warwick (England)
  2. On the embedding problem for evolutionary Markov matrices
    Jordi Roca-Lacostena
  3. Some Algebraic Properties of Hierarchical Models
    Aida, Maraj

  4. Generalized minimum distance functions
    Rafael H. Villarreal
    CINVESTAV (Mexico)
  5. Toric codes and Minkowski length of polytopes
    Ivan Soprunov
  6. k-normal elements and cyclic codes over Galois rings
    Horacio Tapia Recillas
    UAM (Mexico)
  7. Stochasticity conditions for Phylogenetics Reconstruction
    Marina Garrote López

Mini-talks

  1. A family of Symmetric Numerical Semigroups
    Mehta Ranjana.
  2. Lefschetz Properties for Certain Graded Modules
    Zachary Flores
  3. Advances in Parameter Estimation of lengths of a fix tree under JC69
    Ernesto Álvarez González
  4. When $R[x]$ is a principal ideal ring?
    Henry Chimal
  5. LCD codes from Cartesian codes
    Hiram López Valdez

Exercises

  1. Syzygies and monomial ideals
    Daniel Erman.
  2. Combinatorics of binomial and toric ideals
    Fatemeh Mohammadi
  3. The role of algebraic statistics in estimation and modeling of random graphs and networks
    Sonja Petrovic. Exercises: One, Two, Three, Four, and Five.
  4. Algebraic geometric codes. Exercises: Part One, Two
    Trygve Johnsen
  5. Algebraic statistics and philogenetic
    Seth Sullivant

Some references

  1. Lectures on Algebraic Statistics
    Mathias Drton, Bernd Sturmfels, and Seth Sullivant
  2. What is a Markov basis?
    Sonja Petrovic
  3. Markov bases in algebraic statistics. 𝛑
    Aoki, Hara, and Takemura
    Abstract: The two main generic constructions of block ciphers are SP networks and Feistel structures. They have been investigated extensively over the last forty years, but their exact security is still not fully understood. In this talk I will survey several surprising recent developments which can reduce the time and spacecomplexities of the best known attacks on these schemes.
    Joint work with Itai Dinur, Orr Dunkelman and Nathan Keller.