Tidligere arrangementer - Side 5
Phase tropical surfaces can appear as a limit of a 1-parameter family of smooth complex algebraic surfaces. A phase tropical surface admits a stratified fibration over a smooth tropical surface. We study the real structures compatible with this fibration and give a description in terms of tropical cohomology. As an application, we deduce combinatorial criteria for the type of a real structure of a phase tropical surface.
Phase tropical surfaces can appear as a limit of a 1-parameter family of smooth complex algebraic surfaces. A phase tropical surface admits a stratified fibration over a smooth tropical surface. We study the real structures compatible with this fibration and give a description in terms of tropical cohomology. As an application, we deduce combinatorial criteria for the type of a real structure of a phase tropical surface.
Phase tropical surfaces can appear as a limit of a 1-parameter family of smooth complex algebraic surfaces. A phase tropical surface admits a stratified fibration over a smooth tropical surface. We study the real structures compatible with this fibration and give a description in terms of tropical cohomology. As an application, we deduce combinatorial criteria for the type of a real structure of a phase tropical surface.
In 1962 Ehrhart proved that the number of lattice points in integer dilates of a lattice polytope is given by a polynomial — the Ehrhart polynomial of the polytope. Since then Ehrhart theory has developed into a very active area of research at the intersection of combinatorics, geometry and algebra.
The Ehrhart polynomial encodes important information about the polytope such as its volume and the dimension. An important tool to study Ehrhart polynomials is the h*-polynomial, a linear transform of the Ehrhart polynomial which is given by the numerator of the generating series. By a famous theorem of Stanley the coefficients of the h*-polynomial are always nonnegative integers. In this talk, we discuss generalizations of this result to weighted lattice point enumeration in rational polytopes where the weight function is given by a polynomial. In particular, we show that Stanley’s Nonnegativity Theorem continues to hold if the weight is a sum of products of linear forms that a nonnegative over the polytope. This is joint work with Esme Bajo, Robert Davis, Jesús De Loera, Alexey Garber, Sofía Garzón Mora and Josephine Yu.
In 1962 Ehrhart proved that the number of lattice points in integer dilates of a lattice polytope is given by a polynomial — the Ehrhart polynomial of the polytope. Since then Ehrhart theory has developed into a very active area of research at the intersection of combinatorics, geometry and algebra.
The Ehrhart polynomial encodes important information about the polytope such as its volume and the dimension. An important tool to study Ehrhart polynomials is the h*-polynomial, a linear transform of the Ehrhart polynomial which is given by the numerator of the generating series. By a famous theorem of Stanley the coefficients of the h*-polynomial are always nonnegative integers. In this talk, we discuss generalizations of this result to weighted lattice point enumeration in rational polytopes where the weight function is given by a polynomial. In particular, we show that Stanley’s Nonnegativity Theorem continues to hold if the weight is a sum of products of linear forms that a nonnegative over the polytope. This is joint work with Esme Bajo, Robert Davis, Jesús De Loera, Alexey Garber, Sofía Garzón Mora and Josephine Yu.
In this talk we define a new category of matroids, by working on matroid polytopes and rank preserving weak maps. This lets us introduce the concept of categorical valuativity for functors, which can be seen as a categorification of the ordinary valuativity for matroid invariants.
We also show that this new theory agrees with what we know about valuative polynomials: several known valuative polynomials can be seen as a Hilbert series of some graded vector space and we prove that these graded vector spaces let us define a valuative functor in the new sense.
Lastly, we sketch how to categorify a Theorem by Ardila and Sanchez, which states that the convolution of two valuative invariants (respectively, valuative functors) is again valuative.
This is based on a joint ongoing project with Ben Elias, Dane Miyata and Nicholas Proudfoot.
In this talk we define a new category of matroids, by working on matroid polytopes and rank preserving weak maps. This lets us introduce the concept of categorical valuativity for functors, which can be seen as a categorification of the ordinary valuativity for matroid invariants.
We also show that this new theory agrees with what we know about valuative polynomials: several known valuative polynomials can be seen as a Hilbert series of some graded vector space and we prove that these graded vector spaces let us define a valuative functor in the new sense.
Lastly, we sketch how to categorify a Theorem by Ardila and Sanchez, which states that the convolution of two valuative invariants (respectively, valuative functors) is again valuative.
This is based on a joint ongoing project with Ben Elias, Dane Miyata and Nicholas Proudfoot.
In this talk we define a new category of matroids, by working on matroid polytopes and rank preserving weak maps. This lets us introduce the concept of categorical valuativity for functors, which can be seen as a categorification of the ordinary valuativity for matroid invariants.
We also show that this new theory agrees with what we know about valuative polynomials: several known valuative polynomials can be seen as a Hilbert series of some graded vector space and we prove that these graded vector spaces let us define a valuative functor in the new sense.
Lastly, we sketch how to categorify a Theorem by Ardila and Sanchez, which states that the convolution of two valuative invariants (respectively, valuative functors) is again valuative.
This is based on a joint ongoing project with Ben Elias, Dane Miyata and Nicholas Proudfoot.
Join us for two days of activities and discussions about how we can make our digital products circular through design, repair, and regulation.
- On Thursday, January 25, from 12-16: open house with poster exhibition, taking laptops and mobile phones apart, materials library, and energy visualisation. No registration needed.
- On Friday, January 26, from 10:30-14:30: panel discussions on repair of IT equipment at the University of Oslo and the regulation of repair in Norway, Sweden, and the EU. Please register here if you will participate online (not needed when you participate in person).
We prepared for the seminar a brochure with environmental data on different repair scenarios for mobile phone and laptop, which can be downloaded here.
Konferansen tar utgangspunkt i rapporten fra Frontfagsmodellutvalget, som ble overlevert til finansminister Trygve Slagsvold Vedum 15. desember 2023.
The workshop will bring together leading specialists in modeling roughness and long-range dependence in a cozy Nordic atmosphere in the center of Oslo close to the seafront.
Welcome to this Oslo Science City Arena event hosted by the University of Oslo. Together we build the future of energy.
Oslo Stability and Enumerative Geometry Workshop 2023
SCV conference 2023, remembering Berit Stens?nes.
We invite you to a two day seminar celebrating Nils Lid Hjort's significant and extensive contributions in statistics.
Watch the recording of the national launch of the Lancet Countdown on Health and Climate Change. The event was a celebration of the release of the 2023 report and discussed key findings and priorities for Norway.
On November 21-23 the Integreat team and partners convened for the first-ever kick-off meeting at the historic T?yen Hovedg?rd in Oslo. The event marked a crucial milestone for the Integreat community and served as an opportunity to articulate common goals, define the purpose of upcoming projects, and facilitate team building.
As we bid farewell to 2023 and welcome the first hints of winter, we invite you to take part in "The Winds of STORM" workshop!
?rets h?stkonferanse vil omhandle helhetlig tenkning rundt krise- og beredskapsarbeid. Hvordan adressere og l?se kriser p? en mer koordinert og helhetlig m?te til nytte for samfunnet?
30-31 October 2023, Oslo, Norway.
The symposium is a follow-up of six highly successful previous DNVA-RSE Norway-Scotland Symposia. Topics of this year's symposium include: Water Waves and Internal Waves, and the widened scope to include the following multi- and inter-disciplinary marine topics: Hydrodynamic processes in the coastal ocean and fjords, Microbial processes, Robotics for observations in the ocean, Corals and plankton, and Arctic-related problems.
Conference on private lives and sociality in a digital era.
Welcome to HEI's annual International Student Conference! This conference unites early career researchers in both formal and informal settings, providing a platform to explore the latest developments in the field of heritage studies.
Velkommen til HEIs internasjonale studentkonferanse, 19–20 oktober 2023!