Pig

yea i'm curious too

i suppose working over C gives you more tools, but i don't really know what concrete problems/areas where you can say much more in complex AG than "general" AG

i'm actually curious how complex geometry and algebraic geometry are different these days

nic nice

are you going the analytic route or algebraic route?

oh wow nice

a talk or something?

@AlekosRobotis what did you prepare?

hey ted

rarely so many people :o

hi all

:)

?

uh, i don't know what you are doing

what about instead of p,q,r,s - try to formulate the analogous problem for only p,q - can you solve it? If not, can you solve a more simplified version?

and your inequality is quite symmetric

@AfronPie 4 numbers is kind of arbitrary

this lower bound is too weak

when in doubt, lower bound x^2 + 1

the whole situation is scary

hope you are safe man

:o why

are there math channels on discord lol

and find a smooth function that's constantly 1 on this neighborhood

if you take an open neighborhood of y = x^3 U y = -x^3

conservative means it's df right?

why?

i may be missing something, but what's wrong with a bump function kind of argument?

oh i see, cool

@TedShifrin Why is 2 a red herring? Are there easy examples when there's no 2 there?

hi Ted and robjohn, what are you discussing?

@BalarkaSen ah you are right, hm

alternatively, any typical example i can keep in mind?

let me take a look lol

i have to take it back, i don't know what a slice category and what a 2-category is =_=

i don't even know what a slice 2-category is lol

maybe there is some subtlety here

oh hm i was thinking about $g(x) = f(sgn(x) \sqrt{|x|})$ or something

at 0 you may need to worry about left/right

but there shouldn't be any issue at all outside of 0 for the natural candidate

what's colax slice lol

just show continuity of derivatives at 0 of the natural candidate @BalarkaSen?

hi all

@Thorgott you can try to read Herstein's books :P

what is your $d_0$ and $s_0$?

what is $(S\mathbb{R}^2)([2])$?

that's why i said my maturity was too low back then :)

But yeah, I think on the whole it took me a long time to go beyond symbolic manipulations in mathematics

i knew some basic linear algebra before that, so i was mostly using it to familiarize myself with group/rings/field

At the time I was more interested in olympiad style problem solving, so Herstein's Topics in Algebra was a good fit for me, despite its terrible notations