Tropical curves, graph complexes, and top weight cohomology of M_g

We study the topology of a space parametrizing stable tropical curves of genus g with volume 1, showing that its reduced rational homology is canonically identified with both the top weight cohomology of M_g and also with the genus g part of the homology of Kontsevich's graph complex. Using a theorem of Willwacher relating this graph complex to the Grothendieck-Teichmueller Lie algebra, we deduce that H^{4g-6}(M_g;Q) is nonzero for g=3, g=5, and g at least 7. This disproves a recent conjecture of Church, Farb, and Putman as well as an older, more general conjecture of Kontsevich. We also give an independent proof of another theorem of Willwacher, that homology of the graph complex vanishes in negative degrees.Comment: 31 pages. v2: streamlined exposition. Final version, to appear in J. Amer. Math. So

The SnS_n-equivariant top weight Euler characteristic of Mg,nM_{g,n}

We prove a formula, conjectured by Zagier, for the $S_n$-equivariant Euler characteristic of the top weight cohomology of $M_{g,n}$.Comment: 26 pages, 5 figures; v2: added references to related work of Tsopm\'en\'e and Turchin and of Willwacher and \v{Z}ivkovi\'c, along with Remark 1.8, which explains the connection

The Politics of Dating Apps

An examination of dating app culture in China, across user demographics—straight women, straight men, queer women, and queer men. In this exploration of dating app culture in China, Lik Sam Chan argues that these popular mobile apps are not merely a platform for personal relationships but also an emerging arena for gender and queer politics. Chan examines the opportunities dating apps present for women's empowerment and men's performances of masculinity, and he links experiences of queer dating app users with their vulnerable position as sexual minorities. He finds that dating apps are both portals to an exciting virtual world of relational possibilities and sites of power dynamics that reflect the heteronormativity and patriarchy of Chinese society. Drawing on in-depth interviews with urban users of such dating apps as Momo, Tantan, Blued, Aloha, Rela, and Lesdo, Chan proposes “networked sexual publics” as a unifying concept to capture the dynamics of dating app culture. Devoting a chapter to each of four publics—straight women, straight men, queer men, and queer women—Chan documents how relationships are shaped and transfigured by this emerging technology. He considers whether dating apps can be a feminist tool; explores straight men's self-presentation on the apps and their interactions with women they meet there; discusses the constant cycle of deleting and installing the same apps seen among queer men; and examines how popular lesbian dating apps may connect queer women to their communities. Finally, Chan maps possible paths for future intersectional, queer, and feminist scholarship on emerging communication technologies

Development of Short Story Writing with Religious Values through Problem-Based Learning

This research is about post-pandemic learning that changes online learning patterns to hybrid or offline. As a material for developing creativity, reading materials that are easy to understand and easy to use as references in writing are needed. Writing skills in stringing words are needed to produce quality writing. For most, writing in accordance with the Improved Spelling is not necessary. This is not justified and needs to be reviewed further, especially for students who choose the Indonesian Language and Literature Education Study Programme. Writing skills are needed in the learning process, especially in the Popular Writing Skills course. This research uses research and development. Students can start from the type of fiction story to make it easier to write it. There are various kinds of fiction stories such as novels, fairy tales, short stories, and others. Short stories are easier to make because the problems that occur are around

Bounded Disagreement

A well-known generalization of the consensus problem, namely, set agreement (SA), limits the number of distinct decision values that processes decide. In some settings, it may be more important to limit the number of "disagreers". Thus, we introduce another natural generalization of the consensus problem, namely, bounded disagreement (BD), which limits the number of processes that decide differently from the plurality. More precisely, in a system with n processes, the (n, l)-BD task has the following requirement: there is a value v such that at most l processes (the disagreers) decide a value other than v. Despite their apparent similarities, the results described below show that bounded disagreement, consensus, and set agreement are in fact fundamentally different problems. We investigate the relationship between bounded disagreement, consensus, and set agreement. In particular, we determine the consensus number for every instance of the BD task. We also determine values of n, l, m, and k such that the (n, l)-BD task can solve the (m, k)-SA task (where m processes can decide at most k distinct values). Using our results and a previously known impossibility result for set agreement, we prove that for all n >= 2, there is a BD task (and a corresponding BD object) that has consensus number n but can not be solved using n-consensus and registers. Prior to our paper, the only objects known to have this unusual characteristic for n >= 2 (which shows that the consensus number of an object is not sufficient to fully capture its power) were artificial objects crafted solely for the purpose of exhibiting this behaviour

Identification of cardiotoxicity related to non-small cell lung cancer (NSCLC) treatments: A systematic review

Introduction In the last few decades, there has been a rapid development in cancer therapies and improved detection strategies, hence the death rates caused by cancer have decreased. However, it has been reported that cardiovascular disease has become the second leading cause of long-term morbidity and fatality among cancer survivors. Cardiotoxicity from anticancer drugs affects the heart’s function and structure and can occur during any stage of the cancer treatments, which leads to the development of cardiovascular disease. Objectives To investigate the association between anticancer drugs for non-small cell lung cancer (NSCLC) and cardiotoxicity as to whether: different classes of anticancer drugs demonstrate different cardiotoxicity potentials; different dosages of the same drug in initial treatment affect the degree of cardiotoxicity; and accumulated dosage and/or duration of treatments affect the degree of cardiotoxicity Methods This systematic review included studies involving patients over 18 years old with NSCLC and excluded studies in which patients’ treatments involve radiotherapy only. Electronic databases and registers including Cochrane Library, National Cancer Institute (NCI) Database, PubMed, Scopus, Web of Science, ClinicalTrials.gov and the European Union Clinical Trials Register were systematically searched from the earliest available date up until November 2020. A full version protocol of this systematic review (CRD42020191760) had been published on PROSPERO. Results A total of 1785 records were identified using specific search terms through the databases and registers; 74 eligible studies were included for data extraction. Based on data extracted from the included studies, anticancer drugs for NSCLC that are associated with cardiovascular events include bevacizumab, carboplatin, cisplatin, crizotinib, docetaxel, erlotinib, gemcitabine and paclitaxel. Hypertension was the most reported cardiotoxicity as 30 studies documented this cardiovascular adverse event. Other reported treatment-related cardiotoxicities include arrhythmias, atrial fibrillation, bradycardia, cardiac arrest, cardiac failure, coronary artery disease, heart failure, ischemia, left ventricular dysfunction, myocardial infarction, palpitations, and tachycardia. Conclusion The findings of this systematic review have provided a better understanding of the possible association between cardiotoxicities and anticancer drugs for NSCLC. Whilst variation is observed across different drug classes, the lack of information available on cardiac monitoring can result in underestimation of this association. Systematic Review Registration https://www.crd.york.ac.uk/prospero/display_record.php?ID=CRD42020191760, identifier PROSPERO CRD42020191760

The expected jaggedness of order ideals

The jaggedness of an order ideal in a poset is the number of maximal elements in plus the number of minimal elements of not in . A probability distribution on the set of order ideals of is toggle-symmetric if for every , the probability that is maximal in equals the probability that is minimal not in . In this paper, we prove a formula for the expected jaggedness of an order ideal of under any toggle-symmetric probability distribution when is the poset of boxes in a skew Young diagram. Our result extends the main combinatorial theorem of Chan-L\uf3pez-Pflueger-Teixidor [Trans. Amer. Math. Soc., forthcoming. 2015, arXiv:1506.00516], who used an expected jaggedness computation as a key ingredient to prove an algebro-geometric formula; and it has applications to homomesies, in the sense of Propp-Roby, of the antichain cardinality statistic for order ideals in partially ordered sets