The search giant hopes the Supreme Court will review — or even reverse — that decision, with several big names filing amicus briefs in support of the request. 'Front-end' vs. 'back-end' statements: The petition gets deep into the weeds of legal standards, theories and case law. Allowing a looser interpretation of the class certification standard, the brief argues, could result in more companies facing "crushing liability for securities claims." What's next for the caseThe plaintiffs have until Aug. 11 to file a response to Zillow's petition and the amicus briefs. If Zillow's petition is denied, the Ninth Circuit's ruling — and the class certification — would stand.