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Institut for Matematiske Fag > Kalender

Kalender for MATH

Begivenheder arrangeret af Institut for Matematiske Fag


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  • 2. maj 2017, kl. 15:15-16:15

    Algebra/Topology Seminar by Joachim Kock

    Talk by Joachim Kock (Universitat Autònoma de Barcelona) Title: Decomposition spaces, incidence algebras, and Möbius inversion Abstract: I'll survey recent work with Imma Gálvez and Andy Tonks developing a homotopy version of the theory of incidence algebras and Möbius inversion.  The 'combinatorial objects' playing the role of posets and Möbius categories are decomposition spaces, simplicial infinity-groupoids satisfying an exactness condition weaker than the Segal condition, expressed in terms of generic and free maps in Delta.  Just as the Segal condition expresses up-to-homotopy composition, the new condition expresses decomposition.  The role of vector spaces is played by slices over infinity-groupoids, eventually with homotopy finiteness conditions imposed.  To any decomposition space, there is associated an incidence (co)algebra with coefficients in infinity-groupoids, which satisfies an objective Möbius inversion principle in the style of Lawvere-Menni, provided a certain completeness condition is satisfied, weaker than the Rezk condition.  Generic examples of decomposition spaces beyond Segal spaces are given by the Waldhausen S-construction (yielding Hall algebras) and by Schmitt restriction species, and many examples from classical combinatorics admit uniform descriptions in this framework.(The notion of decomposition space is equivalent to the notionof unital 2-Segal space of Dyckerhoff-Kapranov.) » Læs mere

  • 3. maj 2017, kl. 13:15-17:35

    Øresundsseminar

    The Oresund seminar will take place in Lund May 3, 2017.

    » Læs mere

  • 5. maj 2017, kl. 13:15

    Seminar in applied mathematics and statistics

    Søren Hauberg: Diffeomorphisms for Dummies and Augmentations for Awesommies » Læs mere

  • 5. maj 2017, kl. 14:15

    Wind Farm Layout Optimization With Non-Linear Wake effects

    Specialeforsvar ved Christoffer Larsen » Læs mere

  • 5. maj 2017, kl. 15:15-16:00

    What is forcing?

    David Schrittesser will explain what forcing is. Forcing is a technique used to prove independence and consistency results in set theory. » Læs mere

  • 8. maj - 11. maj 2017

    Masterclass: Cohomology of arithmetic groups

    The Masterclass will consist of two lecture series by Andy Putman and Harald Grobner, as well as a number of contributed talks about current research. See here for more information. » Læs mere

  • 8. maj 2017, kl. 10:00-11:00

    Masterclass Lecture by Andy Putman

    Lecture in Masterclass: Cohomology of arithmetic groups by Andy Putman (Notre Dame) Title: Buildings, duality, and the high-dimensional cohomology of arithmetic groups Abstract: I will discuss topological results about the cohomology of arithmetic groups, focusing for simplicity on the group SL(n,Z). Topics include the Borel-Serre bordification, Bieri-Eckmann duality, the structure of the Steinberg module, and the high-dimensional cohomology of these groups. » Læs mere

  • 8. maj 2017, kl. 11:30-12:30

    Masterclass Lecture by Harald Grobner

    Lecture in Masterclass: Cohomology of arithmetic groups by Harald Grobner (Universität Wien) Title: Cohomological automorphic forms: A survey based on examples. Abstract: In this lecture series we will study the cohomology of arithmetic groups through the theory of automorphic forms. Firstly conjectured by A. Borel and G. Harder, the cohomology H^q(Γ, E) of an arithmetic (congruence) subgroup Γ of a connected reductive group G is isomorphic to the relative Lie algebra cohomology of a space of automorphic forms on G. It is really due to epoch-making work of J. Franke that this identication of group-cohomology and automorphic cohomology is now known in full generality. This connection of automorphic forms with the cohomology of arithmetic groups is the deep source of a highly interesting mélange of ideas, approaches and moreover possible applications. It turns out that cohomological automorphic forms i.e., automorphic forms contributing to the cohomology H^q(Γ, E) of some arithmetic group Γ as above play the key role in an extremely rich area of mathematical problems: To mention one of their highlights, the analysis of ζ-functions and their generalizations. This lecture series will (try to) put a spotlight on (i) the problems connected with the very study of H^q(Γ, E) by cohomological automorphic forms, as well as (ii) on some of the far-reaching applications, mentioned above. As the title suggests, we will do this based on a selection of interesting examples, while we try to avoid the huge backlock of the general theory. » Læs mere

  • 8. maj 2017, kl. 15:15-16:15

    Algebra/Topology Seminar by Herbert Gangl

    Talk by Herbert Gangl (Durham University) Title: Zagier's polylogarithm conjecture revisited Abstract: In the early nineties, Goncharov proved the weight 3 case of Zagier's Conjecture stating that the special value $\zeta_F(3)$ of a number field $F$ is essentially expressed as a determinant of trilogarithm values taken in that field. He also envisioned a vast--partly conjectural--programme of how to approach the conjecture for higher weight. We can remove one important obstacle in weight~4 by solving one of Goncharov's conjectures. It further allows us to deduce a functional equation for $Li_4$ in four variables as one expects to enter in a more explicit definition of $K_7(F)$. » Læs mere

  • 9. maj 2017, kl. 10:00-11:00

    Masterclass Lecture II by Andy Putman

    Lecture in Masterclass: Cohomology of arithmetic groups by Andy Putman (Notre Dame) Title: Buildings, duality, and the high-dimensional cohomology of arithmetic groups Abstract: I will discuss topological results about the cohomology of arithmetic groups, focusing for simplicity on the group SL(n,Z). Topics include the Borel-Serre bordification, Bieri-Eckmann duality, the structure of the Steinberg module, and the high-dimensional cohomology of these groups. » Læs mere

  • 9. maj 2017, kl. 11:30-12:30

    Masterclass Lecture II by Harald Grobner

    Lecture in Masterclass: Cohomology of arithmetic groups by Harald Grobner (Universität Wien) Title: Cohomological automorphic forms: A survey based on examples. Abstract: In this lecture series we will study the cohomology of arithmetic groups through the theory of automorphic forms. Firstly conjectured by A. Borel and G. Harder, the cohomology H^q(Γ, E) of an arithmetic (congruence) subgroup Γ of a connected reductive group G is isomorphic to the relative Lie algebra cohomology of a space of automorphic forms on G. It is really due to epoch-making work of J. Franke that this identication of group-cohomology and automorphic cohomology is now known in full generality. This connection of automorphic forms with the cohomology of arithmetic groups is the deep source of a highly interesting mélange of ideas, approaches and moreover possible applications. It turns out that cohomological automorphic forms i.e., automorphic forms contributing to the cohomology H^q(Γ, E) of some arithmetic group Γ as above play the key role in an extremely rich area of mathematical problems: To mention one of their highlights, the analysis of ζ-functions and their generalizations. This lecture series will (try to) put a spotlight on (i) the problems connected with the very study of H^q(Γ, E) by cohomological automorphic forms, as well as (ii) on some of the far-reaching applications, mentioned above. As the title suggests, we will do this based on a selection of interesting examples, while we try to avoid the huge backlock of the general theory. » Læs mere

  • 9. maj 2017, kl. 14:00-15:00

    Masterclass Lecture by Orsola Tommasi

    Lecture in Masterclass: Cohomology of arithmetic groups by Orsola Tommasi (Chalmers University of Technology and University of Gothenburg) Title: Cohomological stabilization of toroidal compactifications of A_gAbstract: By a classical result of Borel, the cohomology of the symplectic group Sp(2g,Z) stabilizes in degree k » Læs mere

  • 10. maj 2017, kl. 10:00-11:00

    Masterclass Lecture III by Andy Putman

    Lecture in Masterclass: Cohomology of arithmetic groups by Andy Putman (Notre Dame) Title: Buildings, duality, and the high-dimensional cohomology of arithmetic groups Abstract: I will discuss topological results about the cohomology of arithmetic groups, focusing for simplicity on the group SL(n,Z). Topics include the Borel-Serre bordification, Bieri-Eckmann duality, the structure of the Steinberg module, and the high-dimensional cohomology of these groups. » Læs mere

  • 10. maj 2017, kl. 11:30-12:30

    Masterclass Lecture III by Harald Grobner

    Lecture in Masterclass: Cohomology of arithmetic groups by Harald Grobner (Universität Wien) Title: Cohomological automorphic forms: A survey based on examples. Abstract: In this lecture series we will study the cohomology of arithmetic groups through the theory of automorphic forms. Firstly conjectured by A. Borel and G. Harder, the cohomology H^q(Γ, E) of an arithmetic (congruence) subgroup Γ of a connected reductive group G is isomorphic to the relative Lie algebra cohomology of a space of automorphic forms on G. It is really due to epoch-making work of J. Franke that this identication of group-cohomology and automorphic cohomology is now known in full generality. This connection of automorphic forms with the cohomology of arithmetic groups is the deep source of a highly interesting mélange of ideas, approaches and moreover possible applications. It turns out that cohomological automorphic forms i.e., automorphic forms contributing to the cohomology H^q(Γ, E) of some arithmetic group Γ as above play the key role in an extremely rich area of mathematical problems: To mention one of their highlights, the analysis of ζ-functions and their generalizations. This lecture series will (try to) put a spotlight on (i) the problems connected with the very study of H^q(Γ, E) by cohomological automorphic forms, as well as (ii) on some of the far-reaching applications, mentioned above. As the title suggests, we will do this based on a selection of interesting examples, while we try to avoid the huge backlock of the general theory. » Læs mere

  • 10. maj 2017, kl. 12:00-13:00

    QLunch: TBA

    Speaker: Nathan Harshman, Visiting Associate Professor, Aarhus University. » Læs mere

  • 11. maj 2017, kl. 10:00-11:00

    Masterclass Lecture IV by Andy Putman

    Lecture in Masterclass: Cohomology of arithmetic groups by Andy Putman (Notre Dame) Title: Buildings, duality, and the high-dimensional cohomology of arithmetic groups Abstract: I will discuss topological results about the cohomology of arithmetic groups, focusing for simplicity on the group SL(n,Z). Topics include the Borel-Serre bordification, Bieri-Eckmann duality, the structure of the Steinberg module, and the high-dimensional cohomology of these groups. » Læs mere

  • 11. maj 2017, kl. 11:30-12:30

    Masterclass Lecture IV by Harald Grobner

    Lecture in Masterclass: Cohomology of arithmetic groups by Harald Grobner (Universität Wien) Title: Cohomological automorphic forms: A survey based on examples. Abstract: In this lecture series we will study the cohomology of arithmetic groups through the theory of automorphic forms. Firstly conjectured by A. Borel and G. Harder, the cohomology H^q(Γ, E) of an arithmetic (congruence) subgroup Γ of a connected reductive group G is isomorphic to the relative Lie algebra cohomology of a space of automorphic forms on G. It is really due to epoch-making work of J. Franke that this identication of group-cohomology and automorphic cohomology is now known in full generality. This connection of automorphic forms with the cohomology of arithmetic groups is the deep source of a highly interesting mélange of ideas, approaches and moreover possible applications. It turns out that cohomological automorphic forms i.e., automorphic forms contributing to the cohomology H^q(Γ, E) of some arithmetic group Γ as above play the key role in an extremely rich area of mathematical problems: To mention one of their highlights, the analysis of ζ-functions and their generalizations. This lecture series will (try to) put a spotlight on (i) the problems connected with the very study of H^q(Γ, E) by cohomological automorphic forms, as well as (ii) on some of the far-reaching applications, mentioned above. As the title suggests, we will do this based on a selection of interesting examples, while we try to avoid the huge backlock of the general theory. » Læs mere

  • 11. maj 2017, kl. 14:00-15:00

    Masterclass Lecture by Alexander Kupers

    Lecture in Masterclass: Cohomology of arithmetic groups by Harald Grobner (Universität Wien) Title: Computing K_8(Z) Abstract: We explain how to prove a result announced by Dutour, Elbaz-Vincent and Martinet using the techniques discussed in the masterclass. » Læs mere

  • 15. maj - 19. maj 2017

    Master Class on Exotic Phases of Matter

    The discovery of exotic phases of matters, which has been awarded with a Nobel-prize in 2016, remains one of the most active and important research fields in quantum many-body theory. » Læs mere

  • 15. maj 2017, kl. 12:45

    Joint Number theory/Geometry and Analysis seminar

    Speaker: Yiannis N. Petridis (UCL/UCPH). Title: Arithmetic Statistics of modular symbols. » Læs mere

  • 16. maj 2017, kl. 11:15

    Cirelson Bounds, Rigidity and Robustness of Non-Local Games

    Specialeforsvar ved Nicholas Gauguin Houghton-Larsen » Læs mere

  • 17. maj 2017, kl. 14:15

    Subexponential Distributions

    Specialeforsvar ved Michael Skibsted » Læs mere

  • 17. maj 2017, kl. 15:15-16:15

    Operator algebra seminar

    Seminar talk given by Rasmus Bentmann (University of Göttingen) » Læs mere

  • 22. maj 2017, kl. 13:30-14:30

    Algebra/Topology Seminar by Simona Settepanella

    Talk by Simona Settepanella (Hokkaido University) Title and Abstract: TBA » Læs mere

  • 22. maj 2017, kl. 15:15-16:15

    Algebra/Topology Seminar by Cristiano Spotti

    Talk by Cristiano Spotti (Aarhus) Title and Abstract: TBA » Læs mere

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