Elliptic functions 1. Weierstrass function.

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Richard E Borcherds

Күн бұрын

Пікірлер: 113

@wszytkozajete123 10 ай бұрын

When the world needed him most, he returned

@mildtoadstool 10 ай бұрын

😂

@devrimturker 10 ай бұрын

Math bender :)

@bobbobson6867 7 ай бұрын

He was busy playing Prince Philip in The Crown and one of the popes in The Two Popes.

@deljohnson3264 10 ай бұрын

Can we call you Professor Aragorn, because truly this is the Return of the King

@uroscolovic1357 10 ай бұрын

The return of the jedi!!! Was waiting for this 1,5 years. Professor Brocherds is my favourite teacher!!!

@aziz0x00 10 ай бұрын

we missed you professor!! I wish you a great health and long life! much love

@TheoriesofEverything 10 ай бұрын

Glad to see you're back. Love the new beard.

@cycklist 10 ай бұрын

Wonderful to see you back ❤

@GFJDean35 10 ай бұрын

Saw this on my recommended and clicked IMMEDIATELY! The GOAT of math lecturing; we are so privileged to have you Professor Borcherds

@csa1999 10 ай бұрын

Thank you for coming back to us, in such difficult times !

@AdvancedMath 10 ай бұрын

Sir, so happy to see you back. I was sad that we might have lost you as you have not posted much in a year.

@ahorribleperson3302 10 ай бұрын

The legend returns!!!

@abderrahim3037 10 ай бұрын

This channel is a sanctuary. Welcome back Prof.

@CoconutChor 10 ай бұрын

I am from a thrid world poor country and i am sure that one day all of your free lectures would be helpful for me, thanks for that

@Ridaha 10 ай бұрын

Yay! You have no idea how happy seeing the notification for this video made me! Thank you prof. Borcherds.

@q114nt 10 ай бұрын

He has risen from the depths of Evans Hall! I love you. Thank you Jedi Borcherds

@aweebthatlovesmath4220 10 ай бұрын

Good to see you back professor!!!

@logician1234 10 ай бұрын

Let's goooooooo

@lellosbarello90 10 ай бұрын

wonderful to see You back Professor, best wishes.

@drakoz254 10 ай бұрын

Ecstatic that you're recording more lectures. Such a unique lecturing style and perspective. Thank you!

@samsanchez748 10 ай бұрын

The return of the king.

@tererenji 10 ай бұрын

Great to see you back professor!

@sgtreckless5183 10 ай бұрын

Let's go, glad to have you back!

@KhaledAlekasir 10 ай бұрын

you coming back is the best thing happened within this month! Thanks sir.

@giupeloverofthestars 10 ай бұрын

Welcome Back professor and thank you for everything

@nicolasreinaldet732 10 ай бұрын

Good to see you professor.

@solandge36 10 ай бұрын

I have never clicked on a KZbin notification faster than this.Thank you good sir for posting again. I need to go get a cup of coffee first as it is almost midnight here :D

@sumanahmed84 10 ай бұрын

It's awesome to see you back. Hope you are fine. Thank you Prof. Borcherds ❤

@mm18382 10 ай бұрын

So nice to see you again

@TooManyKuromosomes 10 ай бұрын

Welcome back professor

@Zeitgeist9000 10 ай бұрын

Welcome back! Love your videos

@brantonsaurus 10 ай бұрын

Thank you for making my life more positive...your videos give me the necessary inspiration to continue down this path

@Mathlover526 10 ай бұрын

Dr. Borcherds, your excellent lectures on KZbin make me study math again. I have a BS in math degree, but I always want to study math again because I think I don’t study math hard in college. Thank you for sharing your excellent lectures on KZbin.

@kimandr 10 ай бұрын

The best thing that ever happened to KZbin!

@GandharKulkarni2000 10 ай бұрын

Return of the king!

@andrewparker8636 10 ай бұрын

I think you just covered an entire term of lectures I took at undergraduate in 30 mins (and did it remarkably well!)

@tuatarian6591 10 ай бұрын

Reallly happy to see you making more of these! Your lectures are excellent

@wesleysuen4140 10 ай бұрын

Welcome back!!

@Llluuuu130 10 ай бұрын

Good to have you back man !

@chandlerketelsen8702 10 ай бұрын

Richard, Thanks for sharing this rare and specialized knowledge!

@Halderchess 10 ай бұрын

its great to see you back professor

@Richard-ig4ou 10 ай бұрын

@Richard E Borcherds Great to see you back on KZbin! Keep up the good work! --- Rich

@putin_navsegda6487 10 ай бұрын

Glad to see you again Professor !

@povbilek0981 10 ай бұрын

sir? Sir..!? SIRRR...!?!?!? WELCOME BACK 🗣️🗣️🗣️

@glassfish7207 10 ай бұрын

finally, our legend is back!

@glyde570 10 ай бұрын

Even though I’m just an undergraduate Comp Sci. student I still love your videos professor!

@robinbalean958 10 ай бұрын

So glad you are back!

@omargaber3122 10 ай бұрын

We missed you so much man, where did you go?! Have you been working on solving the Riemann hypothesis?😅❤

@Diogenes20111 10 ай бұрын

Amazing!!

@soumikmukherjee9953 10 ай бұрын

Welcome back Professor. Do you plan to continue the Algebraic Topology lecture series?

@guillem2601 10 ай бұрын

master 👏👏

@marksmit8575 10 ай бұрын

Very interesting lecture. I'm a physics student, so this is the type of math that I miss out on. Thank you for putting this out there!

@sartajshabeer 10 ай бұрын

Welcome back sir , please if you can, post remaining vid lectures on alg topology , really looking forward .

@rosieshen8431 10 ай бұрын

17:30 - 18:45 We probably need to do step (2) first and then step (1)? Although there's no elliptic function with only one pole on L, but we haven't shown that yet. So it might happen that in step (2), such a hypothetic function = P' times a function with two zeros on L, and poles not on L. Then we have to perform step (1) again.

@antoinebrgt 10 ай бұрын

So glad to see you back !!

@eduardoeller183 10 ай бұрын

Amazing lecture!!! ❤

@buddychumpalfriendhomiebud9242 4 ай бұрын

19:48 I don’t understand why subtracting a linear combination of these would result in an expression with no pole at 0, surely the + … remains at the end and results in a high order pole still being present at the end?

@StratosFair 10 ай бұрын

Welcome back to KZbin, prof. Borcherds !

@alileo1578 10 ай бұрын

Thats a great surprise :)

@ronydey5269 10 ай бұрын

Great to see you again sir👍

@sillygoofygoofball 10 ай бұрын

this is just what I needed today

@coolbepis9301 10 ай бұрын

18:39 what if the second even periodic function has poles at the zeroes of p'(z)? I'm not sure how we can conclude it has no poles except on the lattice.

@lowerbound4803 8 ай бұрын

What a nice intro. Thank you 😻

@ΜαριοςΠολιτης-σ8ζ 10 ай бұрын

The return of the chosen one

@VijitTripathi-ec4dg 10 ай бұрын

If possible for you, could plz share link of video lectures of classroom courses which u had taken in UCB.

@tomholroyd7519 10 ай бұрын

(Somebody) Tell us more about 4x**3 -g_2 x - g_3 - y**2. What is being identified? oh at 23:10 you answer this ... (p(z), p'(z)) is a phase space ... in C ... I didn't do so well at complex diff.eqs in college ... I almost want to say this is starting to make sense ...

@rosieshen8431 10 ай бұрын

19:10 - 19:50 What's the point for assuming F is even, if we subtract by combinations of P and P'? I think the logic should be, since F is even with poles only on L, it is c z^{-2n} + ... near 0, so agrees with P^n up to constant.

@buddychumpalfriendhomiebud9242 4 ай бұрын

When removing the poles from F, you can show that there are only finitely many poles in the repeating region to remove as the region is compact. If there were infinitely many, this would necessarily result in a convergent sequence of poles to a point within the region by the topological properties of compact spaces, and this point would fail to be holomorphic while not being an isolated point, contradicting F being meromorphic.

@DynestiGTI 10 ай бұрын

He’s back!

@algeot5132 10 ай бұрын

Welcome back Prof!

@johnchessant3012 10 ай бұрын

babe wake up new Richard Borcherds lecture just dropped

@olivierbegassat851 10 ай бұрын

At 19:50 it should be p, p^2, p^4, etc ... I take it ? Given that F is even and we just did the observation about the even powers of p

@emanuellandeholm5657 10 ай бұрын

Instant subscribe, really interesting stuff

@Rohit.Y 10 ай бұрын

Welcome Back Professor! can any one tell me what's book he mention at 4:00 around?

@Rohit.Y 10 ай бұрын

The book is by Jahnke and Emde

@maximiliansans8257 10 ай бұрын

why did we assume b to be an integer at 8:03 and does p(z) also generale all eliptic functions with noninteger poles? happy t osee you return btw

@mmmusa2576 10 ай бұрын

The GOAT is back

@vinyltherapy9410 10 ай бұрын

Return of the king!

@kingarth0r 10 ай бұрын

The Return of the King

@mke344 10 ай бұрын

my guyy is backkk!!!!

@FractalMannequin 10 ай бұрын

I can't understand the authors of the book mentioned in 3:53 (I'm sorry, I'm not English native speaker). Could somebody please tell us?

@john-r-edge 10 ай бұрын

Guessing that Liouville of Liouville's theorem is the same person mentioned in a quote attributed to Lord Kelvin. The quote is related to the result that the that "integral from plus-infinity to minus-infinity of e to the power of minus x squared dx is equal to the square root of Pi". Lord Kelvin said that "A mathematician is one to whom that is as obvious as that twice two makes four is to you. Liouville was a mathematician."

@pneumaniac14 10 ай бұрын

The goat is back???

@beau-payage 10 ай бұрын

6:30 second line: is it g in G or g in V?

@petervanderkamp3372 3 ай бұрын

In the example (with L) it becomes clear that it should be g in G

@dominiquelaurain6427 10 ай бұрын

Hi Richard. I already watched some of your oldest videos about the same subject....very interesting. My comment is : elliptic *curves* only with complex numbers ? ... I learned about elliptic functions for Poncelet Closure Theorem, where the space is the couple of (P,T) where P is a point in projective space P^2 on one conic and T a tangent to the caustic. How to "map" to complex numbers ?

@KippGenerator 10 ай бұрын

I love the graphs in Janke's and Emde's book so much. I hope to be able to reproduce them somehow for a given complex function. Maybe somebody has done this already. I would like to know if this is the case.