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SAGA - Seminar on Applied Geometry and Algebra

Over the last years there has been an immense growth of nonlinear models across the mathematical sciences and its applications to other disciplines. This is fueled by recent theoretical advances in understanding systems of multivariate polynomial equations and inequalities, development of efficient software solving such systems, and an increased awareness of these tools. SIAM SAGA features talks on algebraic geometry and its links to other mathematical branches -- such as combinatorics, algebraic topology, commutative algebra, convex and discrete geometry, tensors and multilinear algebra, number theory, representation theory, and symbolic and numerical computation --, focusing on a variety of applications -- including robotics, optimization, statistics, machine learning, complexity theory, cryptography, coding theory, computer vision, biology, economics, among many others.

Mailing List To stay up-to-date about upcoming talks and receive Zoom invitations please join our mailing list by sending an email to siam_saga+join@g-groups.wisc.edu.

  • Afterwards you will receive an email which asks you to confirm your wish for subscription by replying to that email.
  • Finally, you will receive a confirmation email that you became a member.

Upcoming Talks All seminars take place on the 2nd Tuesday of every month at 5pm CET (UTC+1).

  • Tuesday, November 10, 5pm Central European Time (UTC+1): Other time zones
    Rekha R. Thomas (University of Washington)
    When Two Cameras Meet a Cubic Surface
    The set of images captured by an arrangement of pinhole cameras is usually modeled by the multiview variety. The true set is in fact a semialgebraic subset of this variety, arising from the physical restriction that cameras can only image points in front of them. For a pair of cameras, the minimal problem in this semialgebraic setting is given by 5 point pairs, which even in general position, can fail to have a "chiral" reconstruction. I will describe how the combinatorics and arithmetic information of this minimal case is carried by a cubic surface with 27 real lines.
    Joint work with Sameer Agarwal, Andrew Pryhuber and Rainer Sinn

  • Tuesday, December 8, 5pm Central European Time (UTC+1):
    Camilla Hollanti (Aalto University)
    Coding theoretic framework for private information retrieval
    Private information retrieval (PIR) addresses the question of how to retrieve data items from a database or cloud without disclosing information about the identity of the data items retrieved. The area has received renewed attention in the context of PIR from coded storage systems. Here, the files are distributed over the servers according to a storage code instead of mere replication of data. Alongside with the basic principles of linear codes and PIR, we will review recent PIR capacity results and retrieval schemes. Then, we will introduce our own general framework allowing one to adjust the scheme according to the desired storage overhead and suspected collections of colluding servers. This is achieved by a carefully designed interplay between the algebraic-geometric storage and retrieval codes, coined as the star product scheme.
    The talk is based on a collection of joint works with Salim El Rouayheb (Rutgers), Ragnar Freij-Hollanti (Aalto), Oliver Gnilke (Aalborg), Lukas Holzbaur (TU Munich), David Karpuk (F-Secure), Jie Li (Aalto), and Razan Tajeddine (Helsinki).

  • Tuesday, January 12, 5pm Central European Time (UTC+1):
    Sonja Petrović (Illinois Institute of Technology)
    The Spark Randomizer

  • Tuesday, February 9, 5pm Central European Time (UTC+1):
    Bernd Sturmfels (MPI MiS Leipzig, UC Berkeley)

Format The seminars are held on Zoom:

  • 45 minutes of presentation, incl. questions
  • informal discussion

Participants can ask questions in the chat or use the raise-hand tool. The chair will bring forward these questions during and after the talk, and may ask you to unmute yourself to participate in the discussion. Please note that you will be recorded if you activate your audio or video during the seminar.

Each Zoom meeting is provided by SIAM. The webinars will be recorded and posted in a SI(AG)^2 playlist on SIAM’s YouTube account.


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