<ruby id="d9npn"></ruby>

      <sub id="d9npn"><progress id="d9npn"></progress></sub>

      <nobr id="d9npn"></nobr>

      <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

      <th id="d9npn"><meter id="d9npn"></meter></th>

      Questions tagged [geometric-langlands]

      The tag has no usage guidance.

      Filter by
      Sorted by
      Tagged with
      4
      votes
      0answers
      233 views

      What is the analogy between the moduli of shtukas and Shimura varieties?

      I have heard that moduli spaces of shtukas are supposed to be the analogue of Shimura varieties in the setting of function fields. Could someone more knowledgeable about these objects explain how this ...
      17
      votes
      0answers
      783 views

      Number Theory and Gravity

      Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by Robert Langlands at IAS (1967, 1970), it seeks to relate Galois ...
      8
      votes
      0answers
      309 views

      Analog of Ramanujan-Petersson conjecture in Geometric Langlands

      The Ramanujan conjecture asserts that \begin{align} |\tau(p)|\leq 2p^{11/2} \end{align} where $\tau(p)$ is the $p^{th}$ Fourier coeffecient in the q-expansion of the weight 12 cusp form $\Delta(z)$. ...
      7
      votes
      1answer
      243 views

      Remark 12.8.8 in Arinkin--Gaitsgory

      I can not understand Remark 12.8.8 in the preprint "SINGULAR SUPPORT OF COHERENT SHEAVES AND THE GEOMETRIC LANGLANDS CONJECTURE". I am somewhat embarrased by the degree of my confusion, hopefully ...
      7
      votes
      1answer
      205 views

      Beilinson-Drinfeld quantization and stable bundles

      To motivate this question, I'm going to try and explain some background notions. This won't be absolutely necessary for experts, but I want to be vaguely honest about where this question comes from. ...
      7
      votes
      1answer
      364 views

      Implications of gauge symmetry breaking on the spectral side of geometric Langlands?

      Let $G$ be a complex reductive algebraic group and $X$ be a smooth compact complex curve. It's easy to see that the space of vacua in B-twisted $N=4$ SUSY Yang--Mills theory is $\mathfrak{h}^*[2]/W$ (...
      3
      votes
      0answers
      79 views

      Compact generation of the category of D-modules on moduli stack of principal bundles for algebraic groups?

      Let $k$ be an algebraically closed field of characteristic 0. Let $X$ be a connected smooth complete curve over $k$. Consider the moduli stack $\mathrm{Bun}_G$ of principal $G$-bundles on $X$ for ...
      4
      votes
      0answers
      108 views

      Langlands dual and integrable representations

      Assume I successfully classified the integrable representations of a certain semi-simple Lie group $G$. Given this information, what do I know about the integrable representations of $G^\vee$, the ...
      6
      votes
      1answer
      280 views

      Examples of function fields Langlands for small genus (<= 2)

      See Edward Frenkel's article "Lectures on the Langlands program and conformal field theory" for an exposition of the function fields Langlands correspondence (now a theorem of Drinfel'd, L.Lafforgue &...
      6
      votes
      0answers
      223 views

      Bi-Whittaker functions and local Langlands compatibility

      I'm trying to figure out the arithmetic analogue of a key conjecture in the geometric local Langlands correspondence. Briefly, one expects for $K=\mathbb{C}((t))$ an equivalence of dg categories $$\...
      16
      votes
      1answer
      597 views

      References for Langlands classification

      I kindly ask about some references concerning the representation theory of the Langlands dual of a compact Lie group, and how it relates to things related to the original compact Lie group. My ...
      15
      votes
      1answer
      866 views

      LMS Lectures on Geometric Langlands

      Everybody knows how insightful are David Ben-Zvi talks (and comments/answers here on mathoverflow). I was trying to watch the LMS 2007 Lecture Series on Geometric Langlands by David, supposedly made ...
      3
      votes
      1answer
      470 views

      Global Langlands function fields

      Has V. Lafforgue proved the automorphic-to-Galois direction in the Global Langlands conjectures for general reductive groups over function fields? What is the current status, more generally? Related ...
      7
      votes
      0answers
      482 views

      Any progress on Strominger-Yau and Zaslow conjecture?

      In 2002 Hausel - Thaddeus interpreted SYZ conjecture in the context of Hitchin system and Langlands duality. Let briefly explain it Let $\pi : E \to Σ$ a complex vector bundle of rank $r$ and ...
      5
      votes
      0answers
      154 views

      Feigin-Frenkel centre and opers for reductive Lie algebras

      Edward Frenkel (together with Boris Feigin and others) has proven many interesting results connecting the representation theory of an affine Kac-Moody algebra at the critical level with the geometry ...

      15 30 50 per page
      特码生肖图
      <ruby id="d9npn"></ruby>

          <sub id="d9npn"><progress id="d9npn"></progress></sub>

          <nobr id="d9npn"></nobr>

          <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

          <th id="d9npn"><meter id="d9npn"></meter></th>

          <ruby id="d9npn"></ruby>

              <sub id="d9npn"><progress id="d9npn"></progress></sub>

              <nobr id="d9npn"></nobr>

              <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

              <th id="d9npn"><meter id="d9npn"></meter></th>

              巴拉多利德的排名 斯图加特图书馆 重庆时时彩平台 国际象棋怎么玩 东北麻将飘是几番 女巫宝藏电子 台湾万人比基尼派对 完美世界手游神魔官网 上海上港亚冠球票购买 广东36选7开奖结果今晚