Friday, February 26th, 2016

Peter A. Brooksbank – Brooksbank, Peter A. “Polytopes of Large Rank for PSL(4,q).” Journal of Algebra 452, (2016) : 390-400.

Peter A. Brooksbank, Professor of Mathematics

This paper examines abstract regular polytopes whose automorphism group is the projective special linear group PSL(4,q). For q odd we show that polytopes of rank 4 exist by explicitly constructing PSL(4,q) as a string C-group of that rank. On the other hand, we show that no abstract regular polytope exists whose group of automorphisms is PSL(4,2k).

Brooksbank, Peter A. “Polytopes of Large Rank for PSL(4,q).” Journal of Algebra 452, (2016) : 390-400.

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Friday, February 26th, 2016

Kelly Bickel – Bickel, Kelly and Wick, Brett D. “A Study of the Matrix Carleson Embedding Theorem with Applications to Sparse Operators.” Journal of Mathematical Analysis and Applications 435, no. 1 (2016) : 229-243.

Kelly Bickel, Assistant Professor of Mathematics

In this paper, we study the dyadic Carleson Embedding Theorem in the matrix weighted setting. We provide two new proofs of this theorem, which highlight connections between the matrix Carleson Embedding Theorem and both maximal functions and H-1-BMO duality. Along the way, we establish boundedness results about maximal functions associated to matrix A(2) weights and duality results concerning H-1 and BMO sequence spaces in the matrix setting. As an application, we then use this Carleson Embedding Theorem to show that if S is a sparse operator, then the operator norm of S on L-2 (W) satisfies parallel to S parallel to(2)(L2(W)-> L)((W)) less than or similar to [W](A2)(3/2), for every matrix A(2) weight W. (C) 2015 Elsevier Inc. All rights reserved.

Bickel, Kelly and Wick, Brett D. “A Study of the Matrix Carleson Embedding Theorem with Applications to Sparse Operators.” Journal of Mathematical Analysis and Applications 435, no. 1 (2016) : 229-243.

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Friday, February 26th, 2016

K.B. Boomer – Seidl-Adams, I.; Richter, A.; Boomer, K B.; Yoshinaga, N.; and Tumlinson, J. H. “Emission of Herbivore Elicitor-Induced Sesquiterpenes is Regulated by Stomatal Aperture in Maize (Zea mays) Seedlings.” Plant, Cell & Environment 38, no. 1 (2015) : 23-34.

K.B. Boomer, Associate Professor of Mathematics

Maize seedlings emit sesquiterpenes during the day in response to insect herbivory. Parasitoids and predators use induced volatile blends to find their hosts or prey. To investigate the diurnal regulation of biosynthesis and emission of induced sesquiterpenes, we applied linolenoyl-L-glutamine (LG) to maize seedlings in the morning or evening using a cut-stem assay and tracked farnesene emission, in planta accumulation, as well as transcript levels of farnesyl pyrophosphate synthase 3 (ZmFPPS3) and terpene synthase10 (ZmTPS10) throughout the following day. Independent of time of day of LG treatment, maximum transcript levels ofZmFPPS3 and ZmTPS10 occurred within 3–4 h after elicitor application. The similarity between the patterns of farnesene emission andin planta accumulation in light-exposed seedlings in both time courses suggested unobstructed emission in the light. After evening induction, farnesene biosynthesis increased dramatically during early morning hours. Contrary to light-exposed seedlings dark-kept seedlings retained the majority of the synthesized farnesene. Two treatments to reduce stomatal aperture, dark exposure at midday, and abscisic acid treatment before daybreak, resulted in significantly reduced amounts of emitted and significantly increased amounts of in planta accumulating farnesene. Our results suggest that stomata not only play an important role in gas exchange for primary metabolism but also for indirect plant defenses.

Seidl-Adams, I.; Richter, A.; Boomer, K B.; Yoshinaga, N.; and Tumlinson, J. H. “Emission of Herbivore Elicitor-Induced Sesquiterpenes is Regulated by Stomatal Aperture in Maize (Zea mays) Seedlings.” Plant, Cell & Environment 38, no. 1 (2015) : 23-34.

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