A p-adic Eisenstein measure for vector-weight automorphic forms

We construct a p-adic Eisenstein measure with values in the space of vector-weight p-adic automorphic forms on certain unitary groups. This measure allows us to p-adically interpolate special values of certain vector-weight C-infinity automorphic forms, including Eisenstein series, as their weights vary. We also explain how to extend our methods to the case of Siegel modular forms and how to recover Nicholas Katz's p-adic families of Eisenstein series for Hilbert modular forms.Comment: Accepted for publication in Algebra & Number Theor

Differential operators, pullbacks, and families of automorphic forms

This paper has two main parts. First, we construct certain differential operators, which generalize operators studied by G. Shimura. Then, as an application of some of these differential operators, we construct certain p-adic families of automorphic forms. Building on the author's earlier work, these differential operators map automorphic forms on a unitary group of signature (n,n) to (vector-valued) automorphic forms on the product $U^\varphi\times U^{-\varphi}$ of two unitary groups, where $U^\varphi$ denotes the unitary group associated to a Hermitian form $\varphi$ of arbitrary signature on an n-dimensional vector space. These differential operators have both a p-adic and a C-infinity incarnation. In the scalar-weight, C-infinity case, these operators agree with ones studied by Shimura. In the final section of the paper, we also discuss some generalizations to other groups and settings. The results from this paper apply to the author's paper-in-preparation with J. Fintzen, E. Mantovan, and I. Varma and to her ongoing joint project with M. Harris, J. -S. Li, and C. Skinner; they also relate to her recent paper with X. Wan.Comment: Accepted for publication in special issue of Annales Mathematiques du Quebec in honor of Glenn Stevens's sixtieth birthda

A p-adic Eisenstein measure for unitary groups

We construct a p-adic Eisenstein measure with values in the space of p-adic automorphic forms on certain unitary groups. Using this measure, we p-adically interpolate certain special values of both holomorphic and non-holomorphic Eisenstein series, as both the archimedean and the p-adic weights of the Eisenstein series vary.Comment: Accepted for publication in the Journal f\"ur die reine und angewandte Mathematik (Crelle's Journal

Lost, Dysfunctional or Evolving? A View of Business Schools from Silicon Valley

Recent articles have rekindled discussions around the direction and relevance of US business schools. The two main viewpoints are distinct but equally critical. On one hand, business schools are considered overly focused on “scientific research” and having lost their connection to “real world” and management issues. On the other hand, schools are considered “dysfunctionally” focused on media rankings and short-term superficial marketing fixes. Our study of educational opportunities and workforce development in Silicon Valley suggests a different viewpoint. We agree that both approaches correctly identify the challenge of preparing managers in globalized world. However, we believe they misdiagnose the cause of the failure. Rather than being lost or dysfunctional, we believe business programs — like the firms and students they serve — are in the process of evolving to meet a shifting global and local environment. Our findings indicate that business schools face structural, content, and program shifts. Educationally, business programs continue to be seen as doing a good job of educating their students in core functional areas and processes. However, they do less well in teaching their graduates interpersonal skills, real-time decision-making, recognition of contexts, and integration across functional areas. These are increasingly the skills demanded by the global business environment. Even more challenging is meeting the demand for both sets of skills within very specialized fields like technology management. Structurally, new types of students and learning demands are placing stresses on traditional full-time two-year programs and their business models. Women and minority groups increasingly form the majority of the future student population, with distinct needs and demands for part-time and executive education. This shift is also evident in demands for life-long learning and engagement as opposed to a fixed, one-shot program experiences. These challenges require business schools to build upon what they do well, while innovating to serve new business and student needs.management education; Silicon Valley; globalization; technology

Haploinsufficiency of the Myc regulator Mtbp extends survival and delays tumor development in aging mice.

Alterations of specific genes can modulate aging. Myc, a transcription factor that regulates the expression of many genes involved in critical cellular functions was shown to have a role in controlling longevity. Decreased expression of Myc inhibited many of the deleterious effects of aging and increased lifespan in mice. Without altering Myc expression, reduced levels of Mtbp, a recently identified regulator of Myc, limit Myc transcriptional activity and proliferation, while increased levels promote Myc-mediated effects. To determine the contribution of Mtbp to the effects of Myc on aging, we studied a large cohort of Mtbp heterozygous mice and littermate matched wild-type controls. Mtbp haploinsufficiency significantly increased longevity and maximal survival in mice. Reduced levels of Mtbp did not alter locomotor activity, litter size, or body size, but Mtbp heterozygous mice did exhibit elevated markers of metabolism, particularly in the liver. Mtbp(+/-) mice also had a significant delay in spontaneous cancer development, which was most prominent in the hematopoietic system, and an altered tumor spectrum compared to Mtbp(+/+) mice. Therefore, the data suggest Mtbp is a regulator of longevity in mice that mimics some, but not all, of the properties of Myc in aging