Society Meeting at the Joint Mathematics Meeting 2018

Location: 
Marina Ballroom D at the Marriott Marquis San Diego Marina Hotel, San Diego
Meeting Date: 
Wednesday, 10 January, 2018 - 06
Meeting Time: 
18:00
Speakers: 
James McKernan FRS (UCSD)

6.00 pm: Opening of the Meeting

James McKernan, FRS (UCSD)

“ How many equations does one need to define a variety? “

Abstract:

An algebraic variety is the zero locus of a collection of polynomials. Hilbert showed that any variety is always defined by finitely many polynomials.

If the dimension is one less than the ambient space then one polynomial equation always suffices. An intriguing conjecture of Hartshorne states that if the dimension is two less than the dimension of the ambient space then two polynomials suffice, provided the number of variables is at least seven.

We will give an introductory talk around this fascinating conjecture.

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We are pleased to announce that James McKernan, FRS (UCSD), will give the LMS Lecture at the Society Meeting at the Joint Mathematics Meeting.

The scientific meeting is open to all JMM delegates, and international members of the Society have the opportunity to sign the Members’ Book, which dates back to the Society’s foundation in 1865.

Registration not required but if you have any queries, please contact Elizabeth Fisher (lmsmeetings@lms.ac.uk)