You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.<\/p>\n
Speaker: Ali Ula\u015f \u00d6zg\u00fcr Ki\u015fisel (ODT\u00dc)<\/p>\n
\u201cIrreversible odd degree curves in $\\mathbb{RP}^2$\u201d<\/p>\n
Abstract: A smooth hypersurface $X\\subset \\mathbb{RP}^{n+1}$ of degree $d$ is called reversible if its defining homogeneous polynomial $f$ can be continuously deformed to $-f$ without creating singularities during the deformation. The question of reversibility was discussed in the paper titled \u201cOn the deformation chirality of real cubic fourfolds\u201d by Finashin and Kharlamov. For $n=1$, the case of plane curves, and $d\\leq 5$ odd, it is known that all smooth curves of degree $d$ are reversible. Our goal in this talk is to present an obstruction for reversibility of odd degree curves and use it in particular to demonstrate that there exist irreversible curves in $\\mathbb{RP}^2$ for all odd degrees $d\\geq 7$. This talk is based on joint work in progress with Ferit \u00d6zt\u00fcrk.<\/p>\n
Date: 8 November 2024, Friday
\nTime: 15:40 (GMT+3)
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to\u00a0sertoz@bilkent.edu.tr<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar. Speaker: Ali Ula\u015f \u00d6zg\u00fcr Ki\u015fisel (ODT\u00dc) \u201cIrreversible odd degree curves in $\\mathbb{RP}^2$\u201d Abstract: A smooth hypersurface $X\\subset \\mathbb{RP}^{n+1}$ of degree $d$ is called reversible if its defining homogeneous polynomial $f$ can be continuously deformed to $-f$ without creating singularities during [\u2026] <\/p>\n