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BEGIN:VEVENT
UID:/NewsandEvents/Archives/2022/newsitem/13981/4-
November-2022-Cool-Logic-Lingyuan-Ye
DTSTAMP:20221107T134500
SUMMARY:Cool Logic, Lingyuan Ye
ATTENDEE;ROLE=Speaker:Lingyuan Ye
DTSTART;TZID=Europe/Amsterdam:20221104T170000
LOCATION:Room D1.116, ILLC, Science Park 904, Amst
erdam
DESCRIPTION:Descartes completely changed our mathe
matical vision, by finding a correspondence betwee
n spaces (geometry) and equations (algebra). Start
ing from high school, we have learnt that x^2+y^2-
1 can be viewed as the the unit circle in the Eucl
idean plane, and a lot of algebraic arguments we d
o have very natural geometric meaning behind them,
and this geometric intuition serves as a guide fo
r many algebraic solutions. Modern algebraic geome
try extends this picture to also allow a geometric
study of solutions on any rings other than R or C
, like Z or Q. The powerful tools developed in top
ology suddenly applies to number theory, and deriv
es powerful results.
X-ALT-DESC;FMTTYPE=text/html:\n Descartes comp
letely changed our mathematical vision, by finding
a correspondence between spaces (geometry) and eq
uations (algebra). Starting from high school, we h
ave learnt that x^2+y^2-1 can be viewed as the the
unit circle in the Euclidean plane, and a lot of
algebraic arguments we do have very natural geomet
ric meaning behind them, and this geometric intuit
ion serves as a guide for many algebraic solutions
. Modern algebraic geometry extends this picture t
o also allow a geometric study of solutions on any
rings other than R or C, like Z or Q. The powerfu
l tools developed in topology suddenly applies to
number theory, and derives powerful results.

URL:https://coollogic.wixsite.com/website/event-de
tails/the-spatial-content-of-logic
CONTACT:Tuva Bardal, Paul Talma at coollogic.uva a
t gmail.com
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