Stock market today: Dow, S&P 500, Nasdaq rally as investors parse Anthropic IPO filing, busy week of tech earnings

US stocks rose on Monday as investors parsed Anthropic's public IPO filing and braced for a full earnings docket and the Federal Reserve's next policy decision this week.The Dow Jones Industrial Average (^DJI) rose 0.4% while the S&P 500 (^GSPC) added 0.8%. The Nasdaq Composite (^IXIC) jumped 1.1% higher after the S&P 500 and Nasdaq Composite posted their second straight week of losses.Just before the opening bell, AI giant Anthropic publicly submitted its S-1 investment prospectus with the Securities and Exchange Commission in a highly anticipated filing on Monday.Meanwhile, oil prices dipped, with Brent crude futures (BZ=F) falling below $110 per barrel after the global benchmark hit its highest level since April amid escalating tensions in the Middle East.AI stocks stabilized during the session following last week's sell-off. Alphabet (GOOG, GOOGL) and Microsoft (MSFT) report earnings on Wednesday as investors weigh growing AI spending and backlogs.The key event this week will be the Federal Reserve's policy meeting, where Fed officials are expected to hold rates steady. However, after hotter-than-expected inflation data, many experts expect Fed Chairman Kevin Warsh to tilt toward a "hawkish pause." Several other global central banks, including the European Central Bank, the Bank of Canada, and the Bank of Japan, will also hold policy-setting meetings this week.