Algebraic K-theory of the first Morava K-theory

We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological cyclic homology.Comment: Revised version, to appear in J. Eur. Math. Soc. (JEMS

Packet reordering, high speed networks and transport protocol performance

We performed end-to-end measurements of UDP/IP flows across an Internet backbone network. Using this data, we characterized the packet reordering processes seen in the network. Our results demonstrate the high prevalence of packet reordering relative to packet loss, and show a strong correlation between packet rate and reordering on the network we studied. We conclude that, given the increased parallelism in modern networks and the demands of high performance applications, new application and protocol designs should treat packet reordering on an equal footing to packet loss, and must be robust and resilient to both in order to achieve high performance

Algebraic KK-theory of planar cuspidal curves

In this paper, we evaluate the algebraic $K$-groups of a planar cuspidal curve over a perfect $\mathbb{F}_p$-algebra relative to the cusp point. A conditional calculation of these groups was given earlier by Hesselholt, assuming a conjecture on the structure of certain polytopes. Our calculation here, however, is unconditional and illustrates the advantage of the new setup for topological cyclic homology by Nikolaus-Scholze, which is used throughout. The only input necessary for our calculation is the evaluation by the Buenos Aires Cyclic Homology group and by Larsen of the structure of Hochschild complex of the coordinate ring as a mixed complex, that is, as an object of the infinity category of chain complexes with circle action.Comment: 9 page

Tropical calcific pancreatitis.........An overview

Tropical calcific pancreatitis is a nonalcoholic type of chronic pancreatitis affecting the childrens and young adults characterized clinically by recurrent abdominal pain in childhood, diabetes in adolescent and death in early childhood. Although the exact etiology is not known, malnutrition and chronic cassava toxicity either singly or in combination are presumed to be the prime factor in pancreatic injury unopposed by detoxification of free radical. Moreover micronutrients deficiency, oxidant stress and antioxidant deficiency might play substantial role. Diabetes secondary to tropical calcific pancreatitis is a distinctive and frequent problem, being named by W.H.O. study group as 'fibrocalculous pancreatic diabetes (FCPD) and classified as one of the variant of the so-called malnutrition related diabetes mellitus (MRDM).熱帯地方の貧困層の小児や若干成人にみられる非アルコール性の慢性膵炎で,小児期に反復する腹痛で発症し,10～20歳で膵性糖尿病になり,20～ 30歳で死亡する類似の病像を示す症例をTropical calcific pancreatitis(熱帯性石灰化慢性膵炎)という｡高率に膵石を伴う｡成因は乳幼児期からの熱量,蛋白貰,micronutrients(亜鉛,銅,セレニウム)の摂取不足に加えて食事中シアン産生物質や環境中oxidantsなど複合因子によると推測されている｡病理像は世界各国にみられる慢性膵炎典型例に類似する｡最近は,生活環境や医療事情の改善により,全身栄養障害の減少や生存期間 の延長など病像が変貌しっつある｡糖尿病を重視する立場からはFibrocalculous pancreatic diabetesと呼ばれ,同一地域にみられるProtein-deficient pancreatic diabetesと合わせてMalnutrition-related diabetes mellitus(MRDM)と総称し,糖尿病の一亜型に分類されている

The topological Singer construction

We study the continuous (co-)homology of towers of spectra, with emphasis on a tower with homotopy inverse limit the Tate construction X^{tG} on a G-spectrum X. When G=C_p is cyclic of prime order and X=B^p is the p-th smash power of a bounded below spectrum B with H_*(B) of finite type, we prove that (B^p)^{tC_p} is a topological model for the Singer construction R_+(H^*(B)) on H^*(B). There is a map epsilon_B : B --> (B^p)^{tC_p} inducing the Ext_A-equivalence epsilon : R_+(H^*(B)) --> H^*(B). Hence epsilon_B and the canonical map Gamma : (B^p)^{C_p} --> (B^p)^{hC_p} are p-adic equivalences

Piloting mixed reality in ICT networking to visualize complex theoretical multi-step problems

This paper presents insights from the implementation of a mixed reality intervention using 3d printed physical objects and a mobile augmented reality application in an ICT networking classroom. The intervention aims to assist student understanding of complex theoretical multi-step problems without a corresponding real world physical analog model. This is important because these concepts are difficult to conceptualise without a corresponding mental model. The simulation works by using physical models to represent networking equipment and allows learners to build a network that can then be simulated using a mobile app to observe underlying packet traversal and routing theory between the different devices as data travels from the source to the destination. Outcomes from usability testing show great student interest in the intervention and a feeling that it helped with clarity, but also demonstrated the need to scaffold the use of the intervention for students rather than providing a freeform experience in the classroom