Classify all representation which contains a Steinberg in its hyperspecial subgroup
Runze Wang
This paper addresses Question 1 posed by Dipendra Prasad in his recent problem list: classify all irreducible smooth representations of an unramified reductive p-adic group such that the space of vectors fixed by the pro-unipotent radical of a hyperspecial maximal compact subgroup, viewed as a representation of the finite reductive group obtained as the quotient of that hyperspecial subgroup by its pro-unipotent radical, contains the Steinberg representation. We prove that any such representation must be Iwahori-spherical, hence a subquotient of some unramified principal series. By a detailed analysis of the action of the Iwahori--Hecke algebra on the Iwahori-fixed space, we show that in each principal series there exists exactly one irreducible subquotient containing the Steinberg representation, and we give an explicit construction of this subquotient. Hence this gives a bijection between Weyl group orbits of unramified characters and irreducible representations containing the Steinberg representation in their hyperspecial subgroup. This classification is richer than Prasad's expectation: besides twists of the Steinberg representation and generic unramified representations, every principal series contributes a unique subquotient with the required property. The proof relies on establishing an isomorphism between the finite Iwahori--Hecke algebra of the finite Lie group obtained as the quotient of the hyperspecial subgroup by its pro-unipotent radical and the finite Hecke algebra of the p-adic group consisting of compactly supported I-bi-invariant functions on the hyperspecial subgroup, and comparing their actions on the Iwahori-fixed vectors.
Culture in the Digital Age in Developing Countries: The Case of Madagascar
Tanteliniaina D. Rakotomalala
In Madagascar, digital transformation offers opportunities but also challenges. The PROM’ART project, supported by UNESCO–Aschberg, highlighted persistent inequalities among artists, especially by gender, region, and income. Most cultural professionals are concentrated in Antananarivo, with better access to infrastructure, digital tools, and markets, while rural artists face limited connectivity and training. Music is the most dynamic sector due to digital tools, while other arts remain underdeveloped. The digital divide continues to marginalize women and rural communities. However, technologies such as streaming, virtual/augmented reality, and artificial intelligence can expand access to cultural heritage, foster creative entrepreneurship, and increase international visibility. Investment in infrastructure, inclusive training, and equitable funding is essential to democratize culture and reduce inequalities.
Anthropology, Dramatic representation. The theater
Eigenvalue selectors for representations of compact connected groups
Alexandru Chirvasitu
A representation $ρ$ of a compact group $\mathbb{G}$ selects eigenvalues if there is a continuous circle-valued map on $\mathbb{G}$ assigning an eigenvalue of $ρ(g)$ to every $g\in \mathbb{G}$. For every compact connected $\mathbb{G}$, we characterize the irreducible $\mathbb{G}$-representations which select eigenvalues as precisely those annihilating the intersection $Z_0(\mathbb{G})\cap \mathbb{G}'$ of the connected center of $\mathbb{G}$ with its derived subgroup. The result applies more generally to finite-spectrum representations isotypic on $Z_0(\mathbb{G})$, and recovers as applications (noted in prior work) the existence of a continuous eigenvalue selector for the natural representation of $\mathrm{SU}(n)$ and the non-existence of such a selector for $\mathrm{U}(n)$.
Distinction of the Steinberg representation and the dual group of a symmetric space
Guy Shtotland
We study the distinction of the Steinberg representation of a split reductive group $G$ with respect to a split symmetric subgroup $H \subset G$. We relate this distinction problem to a problem about the existence of a non-zero harmonic function on a certain hyper-graph related to $X = G/H$. We verify the relative local Langlands conjecture for the Steinberg representation by showing that over a $p$-adic field the Steinberg representation is $H$-distinguished if and only if its Langlands parameter factors through the dual group of $X$.
« La partie la plus difficile » : le désir de reproduction comme chimère dans Earthbound de Marta Cuscunà
Francesca Di Fazio
Inspiré du récit de science-fiction « The Camille Stories » contenu dans Vivre avec le trouble (2020 [2016]) de Donna Haraway, la pièce Earthbound ovvero le storie delle Camille (2021) de la marionnettiste italienne Marta Cuscunà s’interroge sur la durabilité de vies biologiques fondées non plus sur les liens du sang mais sur une forme de parentalité partagée. L’utilisation de marionnettes animatroniques crée sur scène une surface d’imagination où des créatures chimériques en symbiose interrogent l’enracinement du désir humain d’avoir des enfants.
Dramatic representation. The theater
Políticas da imagem em Gemelos e Sin Sangre: Articulações poéticas entre cena, marionete e tecnologia audiovisual
Héctor Briones
Este artigo, a partir das montagens teatrais Gemelos e Sin Sangre, da companhia chilena TeatroCinema
(Ex-La Troppa), propõe-se realizar uma articulação poética entre a marionete e a tecnologia audiovisual, elementos respectivamente cruciais em cada uma dessas obras. Numa leitura neobarroca, considerando o contexto da cena contemporânea na perspectiva latino- -americana, assim como o território globalizado no qual estas peças teatraisemergem, serão estudados os seus aspectos cênicos, no sentido da sua força sensória e imagética, a fim de delinear um vínculo político cifrado nas suas poéticas.
Dramatic representation. The theater
Brazil, Mirror of Cape Verde
Carmo Daun e Lorena
The São Vicente carnival is a symbol of the island’s identity and, at the same time, a field that evokes and intersects several identity referents, with Brazil being the main one. This article revisits the long history of discourses and representations about the identitarian relation between Cape Verde and Brazil, through the case of the São Vicente carnival. Based on archival and ethnographic research, the article presents several Brazilian cultural influences that over time marked the island’s carnival and discusses this supposed relation, proposing the mirror metaphor to better illustrate this unilateral identification and identity demand.
Drama, Dramatic representation. The theater
Representation Equivalence of Lattices in Lie Groups
Chandrasheel Bhagwat, Kaustabh Mondal
Let $Γ_1$ and $Γ_2$ be two lattices of finite covolume in a semisimple Lie group $G$. We prove a spectral rigidity result for the representation spectra of the right regular representations $L^2(Γ_1 \backslash G)$ and $L^2(Γ_2 \backslash G)$ of $G$. This can be thought of as an analogue of the strong multiplicity one theorem and it generalises a result by the first author and Rajan to the case of non-uniform lattices.
Il teatro delle piccole cose: Quiet Ensemble
Maia Giacobbe Borelli
Il mio contributo partecipa alla mappatura delle pratiche performative italiane. Riprendendo quanto introdotto da Auslander con Liveness nel 1999, alla luce di recenti riflessioni e di sperimentazioni artistiche e mediali in contesti offline e online, il saggio esplora il lavoro di Quiet Ensemble, factory crossmediale composta dagli artisti-performers Fabio Di Salvo e Bernardo Vercelli. Le loro performance consentono di introdurre maggiori gradi di complessità al concetto di liveness. Il duo opera dal 2009 al confine tra arte, video, teatro e musica digitale, presentando spettacoli e installazioni fortemente tecnologiche, realizzate con l’utilizzo di elementi del mondo naturale (luce solare, topi, api, pesci, ecc.) che sono proposti dal vivo, in un percorso predeterminato, e che con il loro movimento realizzano essi stessi l’opera in modo aleatorio, nel quadro che la tecnologia digitale preparata da Quiet Ensemble mette loro a disposizione. Gli artisti-performer interagiscono in scena con la situazione che si viene a creare grazie alla presenza di questi insoliti protagonisti.
Dramatic representation. The theater
YOU and ME—Where and How Do We Meet
Electa Behrens, Øystein Elle
YOU and ME—Where and How Do We Meet is a 40 minute film presenting our research focused on the intersectional materiality of the voice and the potentialities of aural diversity and audience agency. Within the larger framework of new materialism, aurality studies and critical race theory, we situate our work between Nancy, Kendrick, Eidsheim, Behar, DiAngelo, Gordon-Cook, Bonefant and Oliveros. This film examines how the video article format:
1. exposes and implicates the researcher’s own embodied positionality. We are trying to queer and appropriate whiteness: to take different faces and voices of whiteness and tweak, tear and intensify them—so that they are no longer invisible or appear harmonious. We attempt to disturb the normalcy of the white frame of listening and thinking.
2. allows for a wider range of language and non-language use, which might communicate the material more effectively and disturb normalized relationships between text, song and sound as meaning carriers.
3. complexifies the theoretical aspect of the work by the very fact of embodying the messiness of the space between “clean” theory and embodied action (Spatz, Campbell and Farrier).
This format offers a way to, as Donna Haraway writes, “stay with the trouble.” This video is nothing if you do not have a conversation afterwards. Dramaturgically, it is a “score for audience.” The performance is really happening in your head. As you watch we ask you: when do you feel most comfortable, or uncomfortable? You and me, as vocal material, where and how do we meet?
Dramatic representation. The theater
Do Asfalto ao Mato: a pesquisa da Cia. Livre na criação de uma cena épica e perspectivista
Lúcia Regina Vieira Romano
Este artigo examina a cena da Cia. Livre, que problematiza a constituição da identidade brasileira, relacionando o indivíduo no contexto urbano e o pensamento ameríndio. Desde o espetáculo Vem Vai, o caminho dos mortos (2007), identifica-se um trânsito entre o mato e o asfalto, instituído nas traduções cênicas da antropofagia, segundo Andrade (1928), Campos (1992) e Nunes (1979), e da cosmologia amazônica, a partir das teorias do perspectivismo, em especial, Descola (1992), Carneiro da Cunha (1998), Kopenawa e Albert (2015) e Viveiros de Castro (1996; 2002; 2015). Conclui-se destacando a estratégia decolonial da companhia no recurso à antropologia, para imaginar outras humanidades.
Drama, Dramatic representation. The theater
Preprojective algebras of $d$-representation finite species with relations
Christoffer Söderberg
In this article we study the properties of preprojective algebras of representation finite species. To understand the structure of a preprojective algebra, one often studies its Nakayama automorphism. A complete description of the Nakayama automorphism is given by Brenner, Butler and King when the algebra is given by a path algebra. We generalize this result to the species case. We show that the preprojective algebra of a representation finite species is an almost Koszul algebra. With this we know that almost Koszul complexes exist. It turns out that the almost Koszul complex for a representation finite species is given by a mapping cone of a certain chain map. We also study a higher dimensional analogue of representation finite hereditary algebras called $d$-representation finite algebras. One source of $d$-representation finite algebras comes from taking tensor products. By introducing a functor called the Segre product, we manage to give a complete description of the almost Koszul complex of the preprojective algebra of a tensor product of two species with relations with certain properties, in terms of the knowledge of the given species with relations. This allows us to compute the almost Koszul complex explicitly for certain species with relations more easily.
Re-montar Jirones de Historia: la danza y la memoria de la última dictadura cívico-militar argentina
Eugenia Cadús
En este artículo se analiza la obra Retazos pequeños de nuestra historia más reciente (2010), del coreógrafo Daniel Payero, creada para la Compañía Nacional de Danza Contemporánea, y su abordaje de la memoria de la última dictadura cívico-militar argentina (1976-1983). A partir de ese análisis, se propone reflexionar acerca de la memoria encarnada o la corporización de la memoria de la dictadura a modo de repertorio o performance. ¿Qué tipo de memoria tienen y evocan los cuerpos danzantes y cómo lo hacen? Aquí, la performance como memoria encarnada se evidencia como un montaje fragmentario que altera el lugar común de la memoria oficial, haciendo surgir una dimensión íntima y afectiva.
Drama, Dramatic representation. The theater
The Principal Representations of Reductive Algebraic Groups with Frobenius Maps
Junbin Dong
We introduce the principal representation category $\mathscr{O}({\bf G})$ of reductive algebraic groups with Frobenius maps and put forward a conjecture that this category is a highest weight category. When $\Bbbk$ is complex field $\mathbb{C}$, we provide some evidences of this conjecture. We also study certain kind of bound quiver algebras whose representations are related to the principal representation category $\mathscr{O}({\bf G})$ .
Quantum Toda Lattice: a Challenge for Representation Theory
Michael Semenov-Tian-Shansky
Quantum Toda lattice may solved by means of the Representation Theory of semisimple Lie groups, or alternatively by using the technique of the Quantum Inverse Scattering Method. A comparison of the two approaches, which is the purpose of the present review article, sheds a new light on Representation Theory and leads to a number of challenging questions.
Topologias da Carne: creative processes in contemporary dance or how to create a Body without Organs for oneself
Juliana Soares Bom-Tempo, Aline Pinheiro Salmin
This work was developed in a close link to Topologias da Carne [Topologies of the Meat], a creative process in contemporary dance. From the incorporation of the concepts Body without Organs (BwO), territory, body-meat, as well as in relation to Laban's proposals for movement, the aim is to produce a transduction of the incorporeal from the concepts into micro vibrations of a dancing body. The methodology covers the exhaustive study of the concepts, in an intrinsic relation to practical experiments in dance, which can open the corporeal organizations to the experimentation of an intensive body.
Drama, Dramatic representation. The theater
Cena de Exceção: o teatro neotecnológico em Belo Horizonte (Brasil) e Buenos Aires (Argentina)
Mariana Lima Muniz (Universidade Federal de Minas Gerais – UFMG, Belo Horizonte/MG, Brasil ), Jorge Dubatti (Universidad de Buenos Aires – Buenos Aires, Argentina )
O artigo analisa os espetáculos Play Me, de Rodrigo Campos, estreado em Belo Horizonte, Distancia, de Matías Umpierrez, e Las Ideas, de Federico León, estreados em Buenos Aires. Eles têm em comum o uso de elementos das mídias digitais que atuam, em alguns momentos, em substituição à presença do corpo do ator. Identificamos que as micropoéticas desses espetáculos representam uma cena de exceção no contexto teatral dessas cidades, que primam pelo convívio entre os corpos viventes no acontecimento teatral. Como exceção, no entanto, revelam uma idiossincrasia do teatro de ambas as cidades em relação à cena neotecnológica: a valorização do convívio e da copresença através da ausência provocada pelo jogo com as novas tecnologias.
Drama, Dramatic representation. The theater
Multilinear representations of Free PROs
Eric Laugerotte, Jean-Gabriel Luque, Ludovic Mignot
et al.
We describe a structure of PRO on hypermatrices. This structure allows us to define multilinear representations of PROs and in particular of free Pros. As an example of applications, we investigate the relations of the representations of Pros with the theory of automata.
A new basis for the representation ring of a Weyl group, II
G. Lusztig
In a previous paper I have defined a new basis for the representation ring of a Weyl group. In this paper we show that the new basis is related to the standard basis by an upper triangular unipotent matrix. We also give a new parametrization of representations in a fixed family by certain pairs of subgroups of a finite group attached to the family. We outline an extension to the case of unipotent representations of a finite Chevalley group.
Linking Lie groupoid representations and representations of infinite-dimensional Lie groups
Habib Amiri, Alexander Schmeding
The present paper links the representation theory of Lie groupoids and infinite-dimensional Lie groups. We show that smooth representations of Lie groupoids give rise to smooth representations of associated Lie groups. The groups envisaged here are the bisection group and a group of groupoid self maps. Then representations of the Lie groupoids give rise to representations of the infinite-dimensional Lie groups on spaces of (compactly supported) bundle sections. Endowing the spaces of bundle sections with a fine Whitney type topology, the fine very strong topology, we even obtain continuous and smooth representations. It is known that in the topological category, this correspondence can be reversed for certain topological groupoids. We extend this result to the smooth category under weaker assumptions on the groupoids.