turkmath.org

The Ankara-Istanbul Algebraic Geometry & Number Theory Meetings aim to bring together people working on algebraic geometry, number theory and related areas in Turkey. During each academic year, monthly meetings are planned in Ankara and Istanbul alternately (and possibly other cities in the future). We hope that these meetings will facilitate communication and collaboration among researchers in the field of algebraic geometry / number theory in Turkey.
14:00 - 15:00 Algebraic K-theory and motivic cohomology - Satoshi Kondo
Abstract: We give some definitions of algebraic K-theory and motivic cohomology. There are some conjectures (Beilinson's, Bass', Parshin's) for varieties over Q, F_q(t), and finite fields. We recall some known results and some results of ours for some varieties in positive characteristic. (details of all talks in this lecture series are here)
15:30 - 16:30 Legendrian Knot Theory - Sinem Çelik Onaran
Abstract: A contact structure on an odd-dimensional manifold is a maximally non-integrable hyperplane field which vanishes nowhere. In dimension three, this structure distinguishes a special class of knots, called Legendrian knots. The classification of Legendrian knots is one of the basic questions in 3-dimensional contact topology. In this series, we’ll define the classical invariants Thurston-Bennequin invariant and the rotation number of Legendrian knots combinatorially. In many cases, these invariants suffice to distinguish Legendrian knots up to Legendrian isotopy. In general, further invariants are required for a complete classification. In this series, we’ll compare the classification of topological and Legendrian knots. Further, we’ll discuss the classification techniques as well as the classification results for Legendrian knots.
17:00 - 18:00 Geometry of Tensors over Finite Fields - Michel Lavrauw
Abstract: Tensor products play a fundamental role in many aspects of science. Recent technological developments have increased the interest in the subject (data analytics, machine learning, neuroscience, quantum networks, psychometrics, chemometrics, …) and the literature on the subject is expanding rapidly. We will give a short introduction to the subject and explain the main problems, using a geometric approach and with a special emphasis on the case of tensor products over finite fields.

Alp Bassa: alp.bassa@boun.edu.tr