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Matematyka ryzyka
Problem ryzyka jest jednym z najważniejszych wyzwań współczesnej nauki. Chcemy rozpoznawać ryzyko naszej działalności, mierzyć je i dalej w konsekwencji próbować wpływać na ryzyko, starając się je zmniejszać. Istotną część wykładu zajmie pomiar ryzyka inwestycji finansowych i ubezpieczeniowych. Wykład będzie nawiązywał do osiągnięć laureatów nagrody Nobla z ekonomii. Zakres tematyki obejmuje metody matematyki finansowej i ubezpieczeniowej oraz zastosowań teorii sterowania stochastycznego przedstawionych w sposób
popularny.
Prowadzący:
prof. dr hab. Łukasz Stettner - Instytut Matematyczny Polskiej Akademii Nauk
Переглядів: 132

Відео

The 1950's: a golden age of harmonic analysis: connections with Calderón-Zygmund theory (part 4)
Переглядів 412 місяці тому
James Wright (University of Edinburgh, UK)
The 1950's: a golden age of harmonic analysis: connections with Calderón-Zygmund theory (part 3)
Переглядів 482 місяці тому
James Wright (University of Edinburgh, UK)
The 1950's: a golden age of harmonic analysis: connections with Calderón-Zygmund theory (part 2)
Переглядів 332 місяці тому
James Wright (University of Edinburgh, UK)
The 1950's: a golden age of harmonic analysis: connections with Calderón-Zygmund theory (part 1)
Переглядів 582 місяці тому
James Wright (University of Edinburgh, UK)
Uniform bounds for multilinear singular integrals (part 4)
Переглядів 72 місяці тому
Olli Saari (Universitat Politècnica de Catalunya, Spain)
Uniform bounds for multilinear singular integrals (part 3)
Переглядів 232 місяці тому
Olli Saari (Universitat Politècnica de Catalunya, Spain)
Uniform bounds for multilinear singular integrals (part 2)
Переглядів 172 місяці тому
Olli Saari (Universitat Politècnica de Catalunya, Spain)
Uniform bounds for multilinear singular integrals (part 1)
Переглядів 172 місяці тому
Olli Saari (Universitat Politècnica de Catalunya, Spain)
Time-frequency representations and related topics (part 4)
Переглядів 82 місяці тому
João Pedro Ramos (EPFL , Switzerland)
Time-frequency representations and related topics (part 3)
Переглядів 192 місяці тому
João Pedro Ramos (EPFL , Switzerland)
Time-frequency representations and related topics (part 2)
Переглядів 122 місяці тому
João Pedro Ramos (EPFL , Switzerland)
Time-frequency representations and related topics (part 1)
Переглядів 112 місяці тому
João Pedro Ramos (EPFL , Switzerland)
Pointwise convergence problems in ergodic theory and analysis (part 4)
Переглядів 172 місяці тому
Mariusz Mirek (Rutgers University, USA)
Pointwise convergence problems in ergodic theory and analysis (part 3)
Переглядів 72 місяці тому
Mariusz Mirek (Rutgers University, USA)
Pointwise convergence problems in ergodic theory and analysis (part 2)
Переглядів 92 місяці тому
Pointwise convergence problems in ergodic theory and analysis (part 2)
Pointwise convergence problems in ergodic theory and analysis (part 1)
Переглядів 152 місяці тому
Pointwise convergence problems in ergodic theory and analysis (part 1)
Maximal singular averages (part 3)
Переглядів 162 місяці тому
Maximal singular averages (part 3)
Maximal singular averages (part 4)
Переглядів 62 місяці тому
Maximal singular averages (part 4)
Maximal singular averages (part 2)
Переглядів 182 місяці тому
Maximal singular averages (part 2)
Maximal singular averages (part 1)
Переглядів 132 місяці тому
Maximal singular averages (part 1)
Bourgain's proof of the circular maximal function theorem (part 4)
Переглядів 182 місяці тому
Bourgain's proof of the circular maximal function theorem (part 4)
Bourgain's proof of the circular maximal function theorem (part 3)
Переглядів 132 місяці тому
Bourgain's proof of the circular maximal function theorem (part 3)
Bourgain's proof of the circular maximal function theorem (part 2)
Переглядів 92 місяці тому
Bourgain's proof of the circular maximal function theorem (part 2)
Bourgain's proof of the circular maximal function theorem (part 1)
Переглядів 302 місяці тому
Bourgain's proof of the circular maximal function theorem (part 1)
Diophantine equations and discrete harmonic analysis (part 4)
Переглядів 312 місяці тому
Diophantine equations and discrete harmonic analysis (part 4)
Diophantine equations and discrete harmonic analysis (part 3)
Переглядів 202 місяці тому
Diophantine equations and discrete harmonic analysis (part 3)
Diophantine equations and discrete harmonic analysis (part 2)
Переглядів 512 місяці тому
Diophantine equations and discrete harmonic analysis (part 2)
Diophantine equations and discrete harmonic analysis (part 1)
Переглядів 532 місяці тому
Diophantine equations and discrete harmonic analysis (part 1)
Sharp restriction theory (part 3)
Переглядів 122 місяці тому
Sharp restriction theory (part 3)

КОМЕНТАРІ

  • @manoshidas1063
    @manoshidas1063 Місяць тому

    Interesting Mr Mallick

  • @jfjfcjcjchcjcjcj9947
    @jfjfcjcjchcjcjcj9947 3 місяці тому

    Is W ~ N(0, I) randomly sampled at every training iteration or is it just sampled randomly once at the beginning of the training and then stays fixed at those sampled values?

  • @17thsavior
    @17thsavior 3 місяці тому

    wow, ravi vakil giving a lecture rare treat

  • @xaviergonzalez5828
    @xaviergonzalez5828 3 місяці тому

    Loved every minute of this lecture!

  • @antondevey
    @antondevey 3 місяці тому

    Starts at 2:39

  • @NoNTr1v1aL
    @NoNTr1v1aL 3 місяці тому

    Absolutely amazing lecture!

  • @SidneyEmerson
    @SidneyEmerson 3 місяці тому

    If you don't like something, change it. If you can't change it, change your attitude.

  • @pantaloonsxD
    @pantaloonsxD 5 місяців тому

    The lack of citations on this lecture is suspicious. Shouldn't there be some publication if this guy is at all creditable

  • @arunnavinjoseph9262
    @arunnavinjoseph9262 6 місяців тому

    Audio is not clear.

  • @imrematajz1624
    @imrematajz1624 11 місяців тому

    This might be an absolute no-brainer for someone in the know: K-theory = Kategory theory given the implicit description referring to functoriality. It would have put me out of my misery early on if this had been made clear from the word get go. The meat can be found starting from 1:04:22 examples. Relation to P-adic and Adelic groups is a revelation!

  • @barijo6043
    @barijo6043 Рік тому

    He passed away recently. I didn't know him well, but he always seemed like such a friendly and positive person. During the difficult times of the lockdown, his lessons helped me to stay motivated and engaged in my studies. He kept a good balance between explaining new topics, answering all individual questions and the big picture. Thanks, Dr. Lutz, may you rest in peace

  • @miosz8150
    @miosz8150 Рік тому

    Zajebisty film i wykładowca 🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥

  • @ciaopeople9664
    @ciaopeople9664 Рік тому

    K-theory, huh, yeah What is it good for? Absolutely nothing, uhh

  • @lukkamayer9698
    @lukkamayer9698 Рік тому

    RIP Dr. Lutz

  • @axelnh5786
    @axelnh5786 Рік тому

    Rest in peace Dr.Lutz

  • @clickaccept
    @clickaccept Рік тому

    The general principle of conemporary mathematics, is attach the word "theory" to soemthing. Then you have a career. apparently.

    • @newwaveinfantry8362
      @newwaveinfantry8362 5 місяців тому

      If you think it's easy to be a mathematician and that we just write nonsense, then you are welcome to come join us.

    • @clickaccept
      @clickaccept 5 місяців тому

      @@newwaveinfantry8362 I am a mathematician, I just happen to understand that developing a career is more-or-less equivalent to the membership part of a social club.

    • @newwaveinfantry8362
      @newwaveinfantry8362 27 днів тому

      @@clickaccept I don't understand what that means. Are you saying that building a career in pure math or coming up with a new theory is something people do just for clout? If you're a mathematician as you said, that is your career, so does that apply to you as well? If one is going into mathematics as a career, then it is clearly out of one's own passion and skillset. There are far easier things to go into for fame and status than mathematics and the "fame" from doing mathematics isn't even all that, since it's only amongst other mathematicians. Are you saying that new theories are just status symbols?

    • @clickaccept
      @clickaccept 27 днів тому

      ​@@newwaveinfantry8362 You reply repeatedly with "are you saying", always taking the most bizarre interpretation as if you are speaking to an idiot. This means you aren't interested in my view, rather you are interested in starting an argument. I suggest you do something else with your time. Academia is overburdened with midwidts who make a career in the manner I have suggested. One way to spot them, is to see who is attaching the word "theory" to the things they study. Someone who dresses in a uniform, is not always an exemplary officer.

  • @adudzik
    @adudzik Рік тому

    Loved this talk, it was extremely well-scoped. I never really understood how to extend intuition for characters of finite groups to the compact setting, but this made the whole thing very concrete and easy to follow.

  • @stevelamprou
    @stevelamprou Рік тому

    You lost me at "Suppose we have an abelian semigroup".

    • @polymloth
      @polymloth Рік тому

      I read this 2 seconds before he said it how odd :D

  • @ethanjensen7967
    @ethanjensen7967 Рік тому

    This lecture is excellent!! Thank you!

  • @AkamiChannel
    @AkamiChannel Рік тому

    This deserves so many more views! Have you set the tags for the video?

  • @dannycrytser7268
    @dannycrytser7268 Рік тому

    [Spoiler for problems] For exercise 4 -- is the suggested simple solution just that the integral over R vanishes for functions in H^1?

  • @alexandershapiro28
    @alexandershapiro28 Рік тому

    This is the best video for an introduction of k-theory that I found, together with math-life-balance was a "juicy" math indeed.

    • @johnnyq4260
      @johnnyq4260 Рік тому

      So what is K-theory good for?

    • @newwaveinfantry8362
      @newwaveinfantry8362 5 місяців тому

      @@johnnyq4260 Algebraic topology, algebraic geometry and ring theory.

  • @hugoramonolmedomareco6322

    Thank you

  • @shreyasiyer2718
    @shreyasiyer2718 Рік тому

    What course is this? What uni?

    • @Adam_Wegert
      @Adam_Wegert Рік тому

      Hello, this talk was given at the ,,Baby steps beyond the horizon 2023'' organized by Insitute of Mathematics of Polish Academy of Science, University of Warsaw and University of Wroclaw

  • @IggySpolsky
    @IggySpolsky Рік тому

    Cool

  • @Kacpereniek
    @Kacpereniek Рік тому

    Jak ja fan

  • @voidisyinyangvoidisyinyang885

    Thank you Michal Eckstein - very fascinating. No mention of Shahn Majid and how the noncommutative would cancel out the black hole singularity?

  • @urfan7850
    @urfan7850 2 роки тому

    Thanks for video.Amazing!

  • @PanJapa12321
    @PanJapa12321 2 роки тому

    hello Kitty!

  • @qwerty123qwert123
    @qwerty123qwert123 2 роки тому

    It is nice if this view is correct. I do not have the expertise to verify, if this is all true.. I truly hope this all correct. The example given at at 27. minute did not work for x1=2,x2=3,x3=2 . This means if A=[(1+2)/2,(2+1j*3)/2;(2-1j*3)/2,(1-2)/2]; or A=[1,0,0;0,(1+2)/2,(2+1j*3)/2;0,(2-1j*3)/2,(1-2)/2] A is not equal to A*A?

    • @clickaccept
      @clickaccept Рік тому

      Is he relying on x1^2+x2^2+x3^2=1 perhaps?

  • @NoNTr1v1aL
    @NoNTr1v1aL 2 роки тому

    Absolutely amazing video!

  • @jackozeehakkjuz
    @jackozeehakkjuz 2 роки тому

    How does this have so few views?! this is wonderful. Excellent exposition, crystal clear and very inspiring. Thank you very much for sharing!

    • @newwaveinfantry8362
      @newwaveinfantry8362 6 місяців тому

      There are very few people in the world who understand this level of abstract algebra.

  • @wellmax7212
    @wellmax7212 2 роки тому

    great talk, thanks

  • @rosieshen8431
    @rosieshen8431 2 роки тому

    11:57 lecture starts 12:56 basic definitions 28:43 history of K-theory 44:53 tangent vector field on spheres 58:26 K-theory for C^*-algebras

  • @adammaj1
    @adammaj1 2 роки тому

    NCG = NonCommutative Geometry

  • @adammaj1
    @adammaj1 2 роки тому

    commons.wikimedia.org/wiki/File:Cauliflower_Julia_set_DLD.png

  • @adammaj1
    @adammaj1 2 роки тому

    commons.wikimedia.org/wiki/File:Dynamical_plane_with_branched_periodic_external_ray_0_for_map_f(z)_%3D_z*z_%2B_0.35.png

  • @vivgm5776
    @vivgm5776 2 роки тому

    An excellent and inspiring lecture !

  • @timpani112
    @timpani112 3 роки тому

    What a great lecture! Would recommend as a good starting point for anyone wishing to study K-theory.

  • @mpix-sv8ye
    @mpix-sv8ye 3 роки тому

    Perfect 👌