Event End Date
Event Title
On a Conjecture on Linear Systems
Event Details
<strong>Mathematics Seminar of the School of Physical Sciences
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Title:<strong> On a Conjecture on Linear Systems</strong>
Speaker:<strong>Sonica Anand</strong>
(Indian Institute for Science Education & Research, Mohali)
<strong>Date: August 21, 2015 (Friday) </strong>
<strong>Abstract:</strong> In a remark to Green's conjecture, Paranjape and Ramanan analyzed the vector bundle E which is the pullback by the canonical map of the universal quotient bundle T_{\Pp^{g-1}}(-1) on \mathbb{P}^{g-1} and stated a more general conjecture and proved it for the curves with Clifford Index 1 (trigonal and plane quintics). In this talk, I will state the conjecture for general linear systems and will provide the proof for the case of hyperelliptic curves.