Forgetful maps between Deligne-Mostow ball quotients

We study forgetful maps between Deligne-Mostow moduli spaces of weighted points on P^1, and classify the forgetful maps that extend to a map of orbifolds between the stable completions. The cases where this happens include the Livn\'e fibrations and the Mostow/Toledo maps between complex hyperbolic surfaces. They also include a retraction of a 3-dimensional ball quotient onto one of its 1-dimensional totally geodesic complex submanifolds

Shapes of polyhedra and triangulations of the sphere

The space of shapes of a polyhedron with given total angles less than 2\pi at each of its n vertices has a Kaehler metric, locally isometric to complex hyperbolic space CH^{n-3}. The metric is not complete: collisions between vertices take place a finite distance from a nonsingular point. The metric completion is a complex hyperbolic cone-manifold. In some interesting special cases, the metric completion is an orbifold. The concrete description of these spaces of shapes gives information about the combinatorial classification of triangulations of the sphere with no more than 6 triangles at a vertex.Comment: 39 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper25.abs.htm

Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups

In this work we investigate solvable and nilpotent Lie groups with special metrics. The metrics of interest are left-invariant Einstein and algebraic Ricci soliton metrics. Our main result shows that the existence of a such a metric is intrinsic to the underlying Lie algebra. More precisely, we show how one may determine the existence of such a metric by analyzing algebraic properties of the Lie algebra in question and infinitesimal deformations of any initial metric. Our second main result concerns the isometry groups of such distinguished metrics. Among the completely solvable unimodular Lie groups (this includes nilpotent groups), if the Lie group admits such a metric, we show that the isometry group of this special metric is maximal among all isometry groups of left-invariant metrics. We finish with a similar result for locally left-invariant metrics on compact nilmanifolds.Comment: 28 page

Exotic smooth structures on nonpositively curved symmetric spaces

We construct series of examples of exotic smooth structures on compact locally symmetric spaces of noncompact type. In particular, we obtain higher rank examples, which do not support Riemannian metric of nonpositive curvature. The examples are obtained by taking the connected sum with an exotic sphere. To detect the change of the smooth structure we use a tangential map from the locally symmetric space its dual compact type twin.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-18.abs.htm

Brancusi and His Poets

This article examines four poems on the work of the modern sculptor Constantin Brancusi, written between 1922 and 1966 by four different poets: Carl Sandburg, Mina Loy, Jean (Hans) Arp, and Jiri Kolar. The purpose of the article is to explore how the varying poetics of these writers—the modernism of the Chicago Renaissance, Futurism, Dadaism, and Concrete poetry—influenced the poets\u27 reception and interpretation of the sculptor and his work. This study approaches the relations between visual and verbal art through a semiotic methodology, and while the discussion of the poems takes the form of comparative literature, the main concern of the essay is a Rezeptionsgeschichte of Brancusi\u27s work. This reception has had a direct influence on twentieth-century literature due to the importance of visual art theories and programs for the poetry of the time. Brancusi\u27s work serves as a constant and as a tool with which to examine and articulate the differences between these four important literary movements

Henri Temianka Correspondence; (lte)

This collection contains material pertaining to the life, career, and activities of Henri Temianka, violin virtuoso, conductor, music teacher, and author. Materials include correspondence, concert programs and flyers, music scores, photographs, and books.https://digitalcommons.chapman.edu/temianka_correspondence/3101/thumbnail.jp

Between Two Worlds: Utilizing the Arts to Increase Engagement and Effectiveness in the Spanish for Heritage Learners Classroom

This article will address the need to increase positive attitudes toward Spanish in Spanish Language Heritage (SLH) classrooms and provide strategies to integrate the arts to support this goal. The primary goals of the contemporary SHL classroom are to maintain the language; to increase positive attitudes towards Spanish, including dialects; and to develop cultural awareness (Beaudrie, Ducal, & Potowsi, 2014). In many SHL classrooms the first two goals are accomplished by reading and writing in Spanish but the latter two goals are less prescriptive and in some classrooms, overlooked. However, it is essential to address students’ attitudes toward Spanish- in all their complexity- as part and parcel of the language acquisition process. Here, the arts serve as robust multilingual tools for self and cultural exploration. Integrating the arts allows students of varying abilities in the heritage language to communicate self, other and culture in a way that gives voice and meaning to their experiences

On volumes of hyperbolic orbifolds

In this paper we derive an explicit lower bound on the volume of a hyperbolic $n$-orbifold for dimensions greater than or equal to four. Our main tool is H. C. Wang's bound on the radius of a ball embedded in the fundamental domain of a discrete subgroup of a semisimple Lie group.Comment: 19 pages, LaTeX; typos added, Section 5 revise

Teen Hleath: Live: Using Radio To Promote Teen Voices in Media

IMPACT. 1: Engaged 30 teen participants in weekly sessions over course of the year -- 2. Established relationships between community partners -- 3. Laid the groundwork for a continued partnership between Youth Beat Radio and Barack Community Recreation Center.COMMUNITY PARTNERS: Barack Community Recreation Center; Youth Beat RadioPRIMARY CONTACT: Brynne PresserEmpower and increase awareness of relevant health issues in the South Side Community