Computations of height 22 higher Real KK-theory spectra at prime 22

We completely compute the $G$-homotopy fixed point spectral sequences at prime $2$ for the height $2$ Lubin-Tate theory $E_2$, in the case of finite subgroups $G$ of the Morava stabilizer group for $G=Q_8,SD_{16},G_{24},$ and $G_{48}$. Our computation uses recently developed equivariant techniques since Hill-Hopkins-Ravenel. We also compute the $(*-\sigma_i)$-graded $Q_8$- and $SD_{16}$-homotopy fixed point spectral sequences where $\sigma_i$ is a non-trivial one dimensional $Q_8$-representation.Comment: 48 pages, comments welcome

CLEAN-EVAL: Clean Evaluation on Contaminated Large Language Models

We are currently in an era of fierce competition among various large language models (LLMs) continuously pushing the boundaries of benchmark performance. However, genuinely assessing the capabilities of these LLMs has become a challenging and critical issue due to potential data contamination, and it wastes dozens of time and effort for researchers and engineers to download and try those contaminated models. To save our precious time, we propose a novel and useful method, Clean-Eval, which mitigates the issue of data contamination and evaluates the LLMs in a cleaner manner. Clean-Eval employs an LLM to paraphrase and back-translate the contaminated data into a candidate set, generating expressions with the same meaning but in different surface forms. A semantic detector is then used to filter the generated low-quality samples to narrow down this candidate set. The best candidate is finally selected from this set based on the BLEURT score. According to human assessment, this best candidate is semantically similar to the original contamination data but expressed differently. All candidates can form a new benchmark to evaluate the model. Our experiments illustrate that Clean-Eval substantially restores the actual evaluation results on contaminated LLMs under both few-shot learning and fine-tuning scenarios

Effects of elevated CO2 concentration and experimental warming on morphological, physiological, and biochemical responses of winter wheat under soil water deficiency

Global climate change and freshwater scarcity have become two major environmental issues that constrain the sustainable development of the world economy. Climate warming caused by increasing atmospheric CO2 concentration can change global/regional rainfall patterns, leading to uneven global seasonal precipitation distribution and frequent regional extreme drought events, resulting in a drastic reduction of available water resources during the critical crop reproduction period, thus causing many important food-producing regions to face severe water deficiency problems. Understanding the potential processes and mechanisms of crops in response to elevated CO2 concentration and temperature under soil water deficiency may further shed lights on the potential risks of climate change on the primary productivity and grain yield of agriculture. We examined the effects of elevated CO2 concentration (e[CO2]) and temperature (experimental warming) on plant biomass and leaf area, stomatal morphology and distribution, leaf gas exchange and mesophyll anatomy, rubisco activity and gene expression level of winter wheat grown at soil water deficiency with environmental growth chambers. We found that e[CO2] × water × warming sharply reduced plant biomass by 57% and leaf photosynthesis (Pn) 50%, although elevated [CO2] could alleviated the stress from water × warming at the amount of gene expression in RbcL3 (128%) and RbcS2 (215%). At ambient [CO2], the combined stress of warming and water deficiency resulted in a significant decrease in biomass (52%), leaf area (50%), Pn (71%), and Gs (90%) of winter wheat. Furthermore, the total nonstructural carbohydrates were accumulated 10% and 27% and increased Rd by 127% and 99% when subjected to water × warming and e[CO2] × water × warming. These results suggest that water × warming may cause irreversible damage in winter wheat and thus the effect of “CO2 fertilization effect” may be overestimated by the current process-based ecological model

On the Coefficients of some Nonabelian Equivariant Cohomology Theories

In this thesis, we give a complete calculation of the coefficients of ordinary equivariant cohomology with constant coefficients, graded by the real representation ring of a finite group, where the group is the dihedral group of order 2p for an odd prime p, and when the group is the quaternion group. Another independent topic will be equivariant complex cobordism. We calculate the coefficient ring of homotopical equivariant complex cobordism for the symmetric group on three elements. We also study the relation between the coefficient ring of equivariant complex cobordism and the universal Lazard ring of equivariant formal group laws for finite abelian groups, and prove a result generalizing classical Quillen's Theorem.PHDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/174173/1/yunze_1.pd

Genome-Wide Analysis of HSP70s in Hexaploid Wheat: Tandem Duplication, Heat Response, and Regulation

HSP70s play crucial roles in plant growth and development, as well as in stress response. Knowledge of the distribution and heat response of HSP70s is important to understand heat adaptation and facilitate thermotolerance improvement in wheat. In this study, we comprehensively analyzed the distribution of HSP70s in hexaploid wheat (TaHSP70s) and its relatives, and we found an obvious expansion of TaHSP70s in the D genome of hexaploid wheat. Meanwhile, a large portion of tandem duplication events occurred in hexaploid wheat. Among the 84 identified TaHSP70s, more than 64% were present as homeologs. The expression profiles of TaHSP70s in triads tended to be expressed more in non-stressful and heat stress conditions. Intriguingly, many TaHSP70s were especially heat responsive. Tandem duplicated TaHSP70s also participated in heat response and growth development. Further HSE analysis revealed divergent distribution of HSEs in the promoter regions of TaHSP70 homeologs, which suggested a distinct heat regulatory mechanism. Our results indicated that the heat response of TaHSP70s may experience a different regulation, and this regulation, together with the expression of tandem duplicated TaHSP70s, may help hexaploid wheat to adapt to heat conditions