דצמבר 10, 1989 - דצמבר 10, 2022

  • Date:04רביעידצמבר 2019

    Algebraic Geometry and Representation Theory Seminar

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    שעה
    09:30 - 10:45
    כותרת
    Cubic Fourfolds: Rationality and Derived Categories
    מיקום
    בניין יעקב זיסקינד
    Room 1
    מרצה
    Howard Nuer
    University of Illinois at Chicago
    מארגן
    הפקולטה למתמטיקה ומדעי המחשב
    Seminar, המחלקה למדעי המחשב ומתמטיקה שימושית
    Seminar, המחלקה למתמטיקה
    Seminar
    צרו קשר
    פרטים נוספיםShow full text description of The question of determining if a given algebraic variety is ...»
    The question of determining if a given algebraic variety is rational is a notoriously difficult problem in algebraic geometry, and attempts to solve rationality problems have often produced powerful new techniques. A well-known open rationality problem is the determination of a criterion for when a cubic hypersurface of five-dimensional projective space is rational. After discussing the history of this problem, I will introduce the two conjectural rationality criteria that have been put forth and then discuss a package of tools I have developed with my collaborators to bring these two conjectures together. Our theory of Relative Bridgeland Stability has a number of other beautiful consequences such as a new proof of the integral Hodge Conjecture for Cubic Fourfolds and the construction of full-dimensional families of projective HyperKahler manifolds. Time permitting I'll discuss applications of the theory of relative stability conditions to problems other than cubic fourfolds.
    הרצאה