Special Lectures in Mathematics and Computation: Big data and computation arithmetic geometry - Thursday 14 September, from 15:00 to 17:00- VENUE: Fibonacci

[ICTP Math Section]

_*Special Lectures in Mathematics and Computation: Big data and 
computation arithmetic geometry
*_


Thursday 14 Sep 2023, from 15:00 - 17:00 (Central European Time)

*VENUE:* Fibonacci lecture room (Galileo Guest House)


Speaker: Brendan Hassett (Institute for Computational and Experimental 
Research in Mathematics, Brown University)


Meeting ID: 997 7790 5292

passw: 232468


/*15:00 - 16:00: Seminar talk

16:00 - 17:00: Panel discussion*/



*Abstract:* Arithmetic geometry is at the core of pure mathematics but 
modern advances in computing power and algorithms are changing the 
field. I will focus on recent results of the Simons Collaboration 
"Arithmetic geometry, number theory, and computation". Massive parallel 
computations are now routinely used to construct large data sets and 
solve long-standing open problems. Examples include breakthroughs on 
representing integers as sums of three cubes; the construction of 
collections of small-genus curves, abelian varieties, and finite groups 
on the L-functions and Modular Forms Database; and the use of delicate 
floating point computations to rigorously compute algebraic integers and 
related invariants.

*The lecture will be followed by a panel discussion on the future of 
extensive computation in sciences (4-5 pm).

/https://indico.ictp.it/event/10535
/

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