Algebraic geometry, which is the study of solution sets to systems of polynomial equations in several unknowns, has a long and distinguished presence in the history of mathematics that produced both powerful and elegant theorems. In recent years, new algorithms have been developed for computing with polynomial equations, and several old and new methods from algebraic geometry have led to significant and unexpected advances in several diverse areas across the mathematical sciences. The aim of these lectures is to offer an introduction to these computational tools and their applications to an interdisciplinary audience. Specific topics to be covered include Gröbner Bases, Solving Algebraic Equations, Tropical Geometry, and recent applications in Statistics and Computational Biology.
Zeit: Mittwoch, 10:15-12
Ort: HG G 43 (Hermann-Weyl-Zimmer)
Beginn: 6. April